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Finding the Third Proportional to 37,489 and 78,418

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Solution

The third proportional to 37,489 and 78,418 is: 164,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489 : 78,418 = 78,418 : x
  2. Step 2: Convert to fraction form
    37,489/78,418 = 78,418/x
  3. Step 3: Cross multiply
    37,489x = 78,418 × 78,418
  4. Step 4: Simplify right side
    37,489x = 6,149,382,724
  5. Step 5: Solve for x
    x = 6,149,382,724/37,489
  6. Step 6: Final answer
    x = 164,031.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.