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Finding the Third Proportional to 247,642 and 542,754

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Solution

The third proportional to 247,642 and 542,754 is: 1,189,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,642 : 542,754 = 542,754 : x
  2. Step 2: Convert to fraction form
    247,642/542,754 = 542,754/x
  3. Step 3: Cross multiply
    247,642x = 542,754 × 542,754
  4. Step 4: Simplify right side
    247,642x = 294,581,904,516
  5. Step 5: Solve for x
    x = 294,581,904,516/247,642
  6. Step 6: Final answer
    x = 1,189,547.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.