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Finding the Third Proportional to 36,513 and 78,561

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Solution

The third proportional to 36,513 and 78,561 is: 169,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,513 : 78,561 = 78,561 : x
  2. Step 2: Convert to fraction form
    36,513/78,561 = 78,561/x
  3. Step 3: Cross multiply
    36,513x = 78,561 × 78,561
  4. Step 4: Simplify right side
    36,513x = 6,171,830,721
  5. Step 5: Solve for x
    x = 6,171,830,721/36,513
  6. Step 6: Final answer
    x = 169,031.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.