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Finding the Third Proportional to 129,505,011,426 and 288,787,421,883

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Solution

The third proportional to 129,505,011,426 and 288,787,421,883 is: 643,976,430,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,505,011,426 : 288,787,421,883 = 288,787,421,883 : x
  2. Step 2: Convert to fraction form
    129,505,011,426/288,787,421,883 = 288,787,421,883/x
  3. Step 3: Cross multiply
    129,505,011,426x = 288,787,421,883 × 288,787,421,883
  4. Step 4: Simplify right side
    129,505,011,426x = 83,398,175,037,829,819,662,336
  5. Step 5: Solve for x
    x = 83,398,175,037,829,819,662,336/129,505,011,426
  6. Step 6: Final answer
    x = 643,976,430,869.50

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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.