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Finding the Third Proportional to 71,286 and 153,624

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Solution

The third proportional to 71,286 and 153,624 is: 331,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286 : 153,624 = 153,624 : x
  2. Step 2: Convert to fraction form
    71,286/153,624 = 153,624/x
  3. Step 3: Cross multiply
    71,286x = 153,624 × 153,624
  4. Step 4: Simplify right side
    71,286x = 23,600,333,376
  5. Step 5: Solve for x
    x = 23,600,333,376/71,286
  6. Step 6: Final answer
    x = 331,065.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.