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Finding the Third Proportional to 72,565 and 102,769

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Solution

The third proportional to 72,565 and 102,769 is: 145,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,565 : 102,769 = 102,769 : x
  2. Step 2: Convert to fraction form
    72,565/102,769 = 102,769/x
  3. Step 3: Cross multiply
    72,565x = 102,769 × 102,769
  4. Step 4: Simplify right side
    72,565x = 10,561,467,361
  5. Step 5: Solve for x
    x = 10,561,467,361/72,565
  6. Step 6: Final answer
    x = 145,544.92

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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.