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Finding the Third Proportional to 309,357 and 656,217

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Solution

The third proportional to 309,357 and 656,217 is: 1,391,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,357 : 656,217 = 656,217 : x
  2. Step 2: Convert to fraction form
    309,357/656,217 = 656,217/x
  3. Step 3: Cross multiply
    309,357x = 656,217 × 656,217
  4. Step 4: Simplify right side
    309,357x = 430,620,751,089
  5. Step 5: Solve for x
    x = 430,620,751,089/309,357
  6. Step 6: Final answer
    x = 1,391,986.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.