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Finding the Third Proportional to 31,778 and 68,482

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Solution

The third proportional to 31,778 and 68,482 is: 147,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778 : 68,482 = 68,482 : x
  2. Step 2: Convert to fraction form
    31,778/68,482 = 68,482/x
  3. Step 3: Cross multiply
    31,778x = 68,482 × 68,482
  4. Step 4: Simplify right side
    31,778x = 4,689,784,324
  5. Step 5: Solve for x
    x = 4,689,784,324/31,778
  6. Step 6: Final answer
    x = 147,579.59

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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.