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Finding the Third Proportional to 37,578 and 81,070

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Solution

The third proportional to 37,578 and 81,070 is: 174,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,578 : 81,070 = 81,070 : x
  2. Step 2: Convert to fraction form
    37,578/81,070 = 81,070/x
  3. Step 3: Cross multiply
    37,578x = 81,070 × 81,070
  4. Step 4: Simplify right side
    37,578x = 6,572,344,900
  5. Step 5: Solve for x
    x = 6,572,344,900/37,578
  6. Step 6: Final answer
    x = 174,898.74

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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.