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Finding the Third Proportional to 31,209 and 66,792

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Solution

The third proportional to 31,209 and 66,792 is: 142,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209 : 66,792 = 66,792 : x
  2. Step 2: Convert to fraction form
    31,209/66,792 = 66,792/x
  3. Step 3: Cross multiply
    31,209x = 66,792 × 66,792
  4. Step 4: Simplify right side
    31,209x = 4,461,171,264
  5. Step 5: Solve for x
    x = 4,461,171,264/31,209
  6. Step 6: Final answer
    x = 142,945.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.