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Finding the Third Proportional to 542,135 and 724,507

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Solution

The third proportional to 542,135 and 724,507 is: 968,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,135 : 724,507 = 724,507 : x
  2. Step 2: Convert to fraction form
    542,135/724,507 = 724,507/x
  3. Step 3: Cross multiply
    542,135x = 724,507 × 724,507
  4. Step 4: Simplify right side
    542,135x = 524,910,393,049
  5. Step 5: Solve for x
    x = 524,910,393,049/542,135
  6. Step 6: Final answer
    x = 968,228.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.