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Finding the Third Proportional to 217,526 and 306,330

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Solution

The third proportional to 217,526 and 306,330 is: 431,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,526 : 306,330 = 306,330 : x
  2. Step 2: Convert to fraction form
    217,526/306,330 = 306,330/x
  3. Step 3: Cross multiply
    217,526x = 306,330 × 306,330
  4. Step 4: Simplify right side
    217,526x = 93,838,068,900
  5. Step 5: Solve for x
    x = 93,838,068,900/217,526
  6. Step 6: Final answer
    x = 431,387.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.