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Finding the Third Proportional to 72,548 and 102,694

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Solution

The third proportional to 72,548 and 102,694 is: 145,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,548 : 102,694 = 102,694 : x
  2. Step 2: Convert to fraction form
    72,548/102,694 = 102,694/x
  3. Step 3: Cross multiply
    72,548x = 102,694 × 102,694
  4. Step 4: Simplify right side
    72,548x = 10,546,057,636
  5. Step 5: Solve for x
    x = 10,546,057,636/72,548
  6. Step 6: Final answer
    x = 145,366.62

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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.