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Finding the Third Proportional to 72,569 and 102,775

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Solution

The third proportional to 72,569 and 102,775 is: 145,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,569 : 102,775 = 102,775 : x
  2. Step 2: Convert to fraction form
    72,569/102,775 = 102,775/x
  3. Step 3: Cross multiply
    72,569x = 102,775 × 102,775
  4. Step 4: Simplify right side
    72,569x = 10,562,700,625
  5. Step 5: Solve for x
    x = 10,562,700,625/72,569
  6. Step 6: Final answer
    x = 145,553.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.