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Finding the Third Proportional to 72,330 and 155,758

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Solution

The third proportional to 72,330 and 155,758 is: 335,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,330 : 155,758 = 155,758 : x
  2. Step 2: Convert to fraction form
    72,330/155,758 = 155,758/x
  3. Step 3: Cross multiply
    72,330x = 155,758 × 155,758
  4. Step 4: Simplify right side
    72,330x = 24,260,554,564
  5. Step 5: Solve for x
    x = 24,260,554,564/72,330
  6. Step 6: Final answer
    x = 335,414.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.