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Finding the Third Proportional to 302,214 and 656,172

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Solution

The third proportional to 302,214 and 656,172 is: 1,424,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,214 : 656,172 = 656,172 : x
  2. Step 2: Convert to fraction form
    302,214/656,172 = 656,172/x
  3. Step 3: Cross multiply
    302,214x = 656,172 × 656,172
  4. Step 4: Simplify right side
    302,214x = 430,561,693,584
  5. Step 5: Solve for x
    x = 430,561,693,584/302,214
  6. Step 6: Final answer
    x = 1,424,691.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.