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Finding the Third Proportional to 37,716 and 78,531

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Solution

The third proportional to 37,716 and 78,531 is: 163,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716 : 78,531 = 78,531 : x
  2. Step 2: Convert to fraction form
    37,716/78,531 = 78,531/x
  3. Step 3: Cross multiply
    37,716x = 78,531 × 78,531
  4. Step 4: Simplify right side
    37,716x = 6,167,117,961
  5. Step 5: Solve for x
    x = 6,167,117,961/37,716
  6. Step 6: Final answer
    x = 163,514.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.