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Finding the Third Proportional to 71,371 and 153,705

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Solution

The third proportional to 71,371 and 153,705 is: 331,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,371 : 153,705 = 153,705 : x
  2. Step 2: Convert to fraction form
    71,371/153,705 = 153,705/x
  3. Step 3: Cross multiply
    71,371x = 153,705 × 153,705
  4. Step 4: Simplify right side
    71,371x = 23,625,227,025
  5. Step 5: Solve for x
    x = 23,625,227,025/71,371
  6. Step 6: Final answer
    x = 331,019.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.