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Finding the Third Proportional to 71,376 and 155,053

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Solution

The third proportional to 71,376 and 155,053 is: 336,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376 : 155,053 = 155,053 : x
  2. Step 2: Convert to fraction form
    71,376/155,053 = 155,053/x
  3. Step 3: Cross multiply
    71,376x = 155,053 × 155,053
  4. Step 4: Simplify right side
    71,376x = 24,041,432,809
  5. Step 5: Solve for x
    x = 24,041,432,809/71,376
  6. Step 6: Final answer
    x = 336,827.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.