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Finding the Third Proportional to 31,292 and 66,696

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Solution

The third proportional to 31,292 and 66,696 is: 142,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292 : 66,696 = 66,696 : x
  2. Step 2: Convert to fraction form
    31,292/66,696 = 66,696/x
  3. Step 3: Cross multiply
    31,292x = 66,696 × 66,696
  4. Step 4: Simplify right side
    31,292x = 4,448,356,416
  5. Step 5: Solve for x
    x = 4,448,356,416/31,292
  6. Step 6: Final answer
    x = 142,156.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.