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Finding the Third Proportional to 36,159 and 78,538

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Solution

The third proportional to 36,159 and 78,538 is: 170,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,159 : 78,538 = 78,538 : x
  2. Step 2: Convert to fraction form
    36,159/78,538 = 78,538/x
  3. Step 3: Cross multiply
    36,159x = 78,538 × 78,538
  4. Step 4: Simplify right side
    36,159x = 6,168,217,444
  5. Step 5: Solve for x
    x = 6,168,217,444/36,159
  6. Step 6: Final answer
    x = 170,585.95

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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.