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Finding the Third Proportional to 306,680 and 478,668

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Solution

The third proportional to 306,680 and 478,668 is: 747,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,680 : 478,668 = 478,668 : x
  2. Step 2: Convert to fraction form
    306,680/478,668 = 478,668/x
  3. Step 3: Cross multiply
    306,680x = 478,668 × 478,668
  4. Step 4: Simplify right side
    306,680x = 229,123,054,224
  5. Step 5: Solve for x
    x = 229,123,054,224/306,680
  6. Step 6: Final answer
    x = 747,107.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.