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Finding the Third Proportional to 129,505,012,243.50 and 288,787,423,335

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Solution

The third proportional to 129,505,012,243.50 and 288,787,423,335 is: 643,976,433,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,505,012,243.50 : 288,787,423,335 = 288,787,423,335 : x
  2. Step 2: Convert to fraction form
    129,505,012,243.50/288,787,423,335 = 288,787,423,335/x
  3. Step 3: Cross multiply
    129,505,012,243.50x = 288,787,423,335 × 288,787,423,335
  4. Step 4: Simplify right side
    129,505,012,243.50x = 83,398,175,876,468,506,099,712
  5. Step 5: Solve for x
    x = 83,398,175,876,468,506,099,712/129,505,012,243.50
  6. Step 6: Final answer
    x = 643,976,433,280.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.