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Finding the Third Proportional to 71,440 and 155,578

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Solution

The third proportional to 71,440 and 155,578 is: 338,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440 : 155,578 = 155,578 : x
  2. Step 2: Convert to fraction form
    71,440/155,578 = 155,578/x
  3. Step 3: Cross multiply
    71,440x = 155,578 × 155,578
  4. Step 4: Simplify right side
    71,440x = 24,204,514,084
  5. Step 5: Solve for x
    x = 24,204,514,084/71,440
  6. Step 6: Final answer
    x = 338,808.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.