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Finding the Third Proportional to 306,759 and 656,166

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Solution

The third proportional to 306,759 and 656,166 is: 1,403,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,759 : 656,166 = 656,166 : x
  2. Step 2: Convert to fraction form
    306,759/656,166 = 656,166/x
  3. Step 3: Cross multiply
    306,759x = 656,166 × 656,166
  4. Step 4: Simplify right side
    306,759x = 430,553,819,556
  5. Step 5: Solve for x
    x = 430,553,819,556/306,759
  6. Step 6: Final answer
    x = 1,403,557.25

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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.