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Finding the Third Proportional to 555,536 and 829,643

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Solution

The third proportional to 555,536 and 829,643 is: 1,238,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,536 : 829,643 = 829,643 : x
  2. Step 2: Convert to fraction form
    555,536/829,643 = 829,643/x
  3. Step 3: Cross multiply
    555,536x = 829,643 × 829,643
  4. Step 4: Simplify right side
    555,536x = 688,307,507,449
  5. Step 5: Solve for x
    x = 688,307,507,449/555,536
  6. Step 6: Final answer
    x = 1,238,997.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.