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Finding the Third Proportional to 36,561 and 79,386

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Solution

The third proportional to 36,561 and 79,386 is: 172,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,561 : 79,386 = 79,386 : x
  2. Step 2: Convert to fraction form
    36,561/79,386 = 79,386/x
  3. Step 3: Cross multiply
    36,561x = 79,386 × 79,386
  4. Step 4: Simplify right side
    36,561x = 6,302,136,996
  5. Step 5: Solve for x
    x = 6,302,136,996/36,561
  6. Step 6: Final answer
    x = 172,373.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.