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Finding the Third Proportional to 31,808 and 68,578

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Solution

The third proportional to 31,808 and 68,578 is: 147,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808 : 68,578 = 68,578 : x
  2. Step 2: Convert to fraction form
    31,808/68,578 = 68,578/x
  3. Step 3: Cross multiply
    31,808x = 68,578 × 68,578
  4. Step 4: Simplify right side
    31,808x = 4,702,942,084
  5. Step 5: Solve for x
    x = 4,702,942,084/31,808
  6. Step 6: Final answer
    x = 147,854.06

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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.