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Finding the Third Proportional to 154,972 and 239,466

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Solution

The third proportional to 154,972 and 239,466 is: 370,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,972 : 239,466 = 239,466 : x
  2. Step 2: Convert to fraction form
    154,972/239,466 = 239,466/x
  3. Step 3: Cross multiply
    154,972x = 239,466 × 239,466
  4. Step 4: Simplify right side
    154,972x = 57,343,965,156
  5. Step 5: Solve for x
    x = 57,343,965,156/154,972
  6. Step 6: Final answer
    x = 370,027.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.