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Finding the Third Proportional to 31,423 and 66,078

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Solution

The third proportional to 31,423 and 66,078 is: 138,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423 : 66,078 = 66,078 : x
  2. Step 2: Convert to fraction form
    31,423/66,078 = 66,078/x
  3. Step 3: Cross multiply
    31,423x = 66,078 × 66,078
  4. Step 4: Simplify right side
    31,423x = 4,366,302,084
  5. Step 5: Solve for x
    x = 4,366,302,084/31,423
  6. Step 6: Final answer
    x = 138,952.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.