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Finding the Third Proportional to 291,639,918 and 688,443,498

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Solution

The third proportional to 291,639,918 and 688,443,498 is: 1,625,135,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,639,918 : 688,443,498 = 688,443,498 : x
  2. Step 2: Convert to fraction form
    291,639,918/688,443,498 = 688,443,498/x
  3. Step 3: Cross multiply
    291,639,918x = 688,443,498 × 688,443,498
  4. Step 4: Simplify right side
    291,639,918x = 473,954,449,938,476,032
  5. Step 5: Solve for x
    x = 473,954,449,938,476,032/291,639,918
  6. Step 6: Final answer
    x = 1,625,135,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.