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Finding the Third Proportional to 376,966 and 554,142

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Solution

The third proportional to 376,966 and 554,142 is: 814,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,966 : 554,142 = 554,142 : x
  2. Step 2: Convert to fraction form
    376,966/554,142 = 554,142/x
  3. Step 3: Cross multiply
    376,966x = 554,142 × 554,142
  4. Step 4: Simplify right side
    376,966x = 307,073,356,164
  5. Step 5: Solve for x
    x = 307,073,356,164/376,966
  6. Step 6: Final answer
    x = 814,591.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.