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Finding the Third Proportional to 407,972 and 674,227

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Solution

The third proportional to 407,972 and 674,227 is: 1,114,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,972 : 674,227 = 674,227 : x
  2. Step 2: Convert to fraction form
    407,972/674,227 = 674,227/x
  3. Step 3: Cross multiply
    407,972x = 674,227 × 674,227
  4. Step 4: Simplify right side
    407,972x = 454,582,047,529
  5. Step 5: Solve for x
    x = 454,582,047,529/407,972
  6. Step 6: Final answer
    x = 1,114,248.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.