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Finding the Third Proportional to 37,730 and 81,400

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Solution

The third proportional to 37,730 and 81,400 is: 175,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,730 : 81,400 = 81,400 : x
  2. Step 2: Convert to fraction form
    37,730/81,400 = 81,400/x
  3. Step 3: Cross multiply
    37,730x = 81,400 × 81,400
  4. Step 4: Simplify right side
    37,730x = 6,625,960,000
  5. Step 5: Solve for x
    x = 6,625,960,000/37,730
  6. Step 6: Final answer
    x = 175,615.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.