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Finding the Third Proportional to 306,872 and 656,388

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Solution

The third proportional to 306,872 and 656,388 is: 1,403,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,872 : 656,388 = 656,388 : x
  2. Step 2: Convert to fraction form
    306,872/656,388 = 656,388/x
  3. Step 3: Cross multiply
    306,872x = 656,388 × 656,388
  4. Step 4: Simplify right side
    306,872x = 430,845,206,544
  5. Step 5: Solve for x
    x = 430,845,206,544/306,872
  6. Step 6: Final answer
    x = 1,403,989.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.