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Finding the Third Proportional to 151,494 and 318,966

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Solution

The third proportional to 151,494 and 318,966 is: 671,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,494 : 318,966 = 318,966 : x
  2. Step 2: Convert to fraction form
    151,494/318,966 = 318,966/x
  3. Step 3: Cross multiply
    151,494x = 318,966 × 318,966
  4. Step 4: Simplify right side
    151,494x = 101,739,309,156
  5. Step 5: Solve for x
    x = 101,739,309,156/151,494
  6. Step 6: Final answer
    x = 671,573.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.