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Finding the Third Proportional to 37,428 and 81,890

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Solution

The third proportional to 37,428 and 81,890 is: 179,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,428 : 81,890 = 81,890 : x
  2. Step 2: Convert to fraction form
    37,428/81,890 = 81,890/x
  3. Step 3: Cross multiply
    37,428x = 81,890 × 81,890
  4. Step 4: Simplify right side
    37,428x = 6,705,972,100
  5. Step 5: Solve for x
    x = 6,705,972,100/37,428
  6. Step 6: Final answer
    x = 179,169.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.