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Finding the Third Proportional to 31,098 and 66,434

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Solution

The third proportional to 31,098 and 66,434 is: 141,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098 : 66,434 = 66,434 : x
  2. Step 2: Convert to fraction form
    31,098/66,434 = 66,434/x
  3. Step 3: Cross multiply
    31,098x = 66,434 × 66,434
  4. Step 4: Simplify right side
    31,098x = 4,413,476,356
  5. Step 5: Solve for x
    x = 4,413,476,356/31,098
  6. Step 6: Final answer
    x = 141,921.55

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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.