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Finding the Third Proportional to 308,452 and 420,214

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Solution

The third proportional to 308,452 and 420,214 is: 572,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,452 : 420,214 = 420,214 : x
  2. Step 2: Convert to fraction form
    308,452/420,214 = 420,214/x
  3. Step 3: Cross multiply
    308,452x = 420,214 × 420,214
  4. Step 4: Simplify right side
    308,452x = 176,579,805,796
  5. Step 5: Solve for x
    x = 176,579,805,796/308,452
  6. Step 6: Final answer
    x = 572,470.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.