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Finding the Third Proportional to 509,389,487 and 807,894,216

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Solution

The third proportional to 509,389,487 and 807,894,216 is: 1,281,324,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,389,487 : 807,894,216 = 807,894,216 : x
  2. Step 2: Convert to fraction form
    509,389,487/807,894,216 = 807,894,216/x
  3. Step 3: Cross multiply
    509,389,487x = 807,894,216 × 807,894,216
  4. Step 4: Simplify right side
    509,389,487x = 652,693,064,246,254,592
  5. Step 5: Solve for x
    x = 652,693,064,246,254,592/509,389,487
  6. Step 6: Final answer
    x = 1,281,324,175.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.