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Finding the Third Proportional to 74,376 and 154,921

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Solution

The third proportional to 74,376 and 154,921 is: 322,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,376 : 154,921 = 154,921 : x
  2. Step 2: Convert to fraction form
    74,376/154,921 = 154,921/x
  3. Step 3: Cross multiply
    74,376x = 154,921 × 154,921
  4. Step 4: Simplify right side
    74,376x = 24,000,516,241
  5. Step 5: Solve for x
    x = 24,000,516,241/74,376
  6. Step 6: Final answer
    x = 322,691.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.