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Finding the Third Proportional to 157,680 and 238,156

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Solution

The third proportional to 157,680 and 238,156 is: 359,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,680 : 238,156 = 238,156 : x
  2. Step 2: Convert to fraction form
    157,680/238,156 = 238,156/x
  3. Step 3: Cross multiply
    157,680x = 238,156 × 238,156
  4. Step 4: Simplify right side
    157,680x = 56,718,280,336
  5. Step 5: Solve for x
    x = 56,718,280,336/157,680
  6. Step 6: Final answer
    x = 359,704.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.