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Finding the Third Proportional to 308,486 and 420,251

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Solution

The third proportional to 308,486 and 420,251 is: 572,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,486 : 420,251 = 420,251 : x
  2. Step 2: Convert to fraction form
    308,486/420,251 = 420,251/x
  3. Step 3: Cross multiply
    308,486x = 420,251 × 420,251
  4. Step 4: Simplify right side
    308,486x = 176,610,903,001
  5. Step 5: Solve for x
    x = 176,610,903,001/308,486
  6. Step 6: Final answer
    x = 572,508.65

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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.