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Finding the Third Proportional to 247,638 and 542,746

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Solution

The third proportional to 247,638 and 542,746 is: 1,189,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,638 : 542,746 = 542,746 : x
  2. Step 2: Convert to fraction form
    247,638/542,746 = 542,746/x
  3. Step 3: Cross multiply
    247,638x = 542,746 × 542,746
  4. Step 4: Simplify right side
    247,638x = 294,573,220,516
  5. Step 5: Solve for x
    x = 294,573,220,516/247,638
  6. Step 6: Final answer
    x = 1,189,531.58

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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.