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Finding the Third Proportional to 31,425 and 66,082

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Solution

The third proportional to 31,425 and 66,082 is: 138,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425 : 66,082 = 66,082 : x
  2. Step 2: Convert to fraction form
    31,425/66,082 = 66,082/x
  3. Step 3: Cross multiply
    31,425x = 66,082 × 66,082
  4. Step 4: Simplify right side
    31,425x = 4,366,830,724
  5. Step 5: Solve for x
    x = 4,366,830,724/31,425
  6. Step 6: Final answer
    x = 138,960.40

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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.