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Finding the Third Proportional to 542,619 and 797,688

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Solution

The third proportional to 542,619 and 797,688 is: 1,172,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,619 : 797,688 = 797,688 : x
  2. Step 2: Convert to fraction form
    542,619/797,688 = 797,688/x
  3. Step 3: Cross multiply
    542,619x = 797,688 × 797,688
  4. Step 4: Simplify right side
    542,619x = 636,306,145,344
  5. Step 5: Solve for x
    x = 636,306,145,344/542,619
  6. Step 6: Final answer
    x = 1,172,657.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.