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Finding the Third Proportional to 1,287,428,634 and 2,780,672,517

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Solution

The third proportional to 1,287,428,634 and 2,780,672,517 is: 6,005,878,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,428,634 : 2,780,672,517 = 2,780,672,517 : x
  2. Step 2: Convert to fraction form
    1,287,428,634/2,780,672,517 = 2,780,672,517/x
  3. Step 3: Cross multiply
    1,287,428,634x = 2,780,672,517 × 2,780,672,517
  4. Step 4: Simplify right side
    1,287,428,634x = 7,732,139,646,799,115,264
  5. Step 5: Solve for x
    x = 7,732,139,646,799,115,264/1,287,428,634
  6. Step 6: Final answer
    x = 6,005,878,261.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.