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Finding the Third Proportional to 36,073 and 78,785

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Solution

The third proportional to 36,073 and 78,785 is: 172,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,073 : 78,785 = 78,785 : x
  2. Step 2: Convert to fraction form
    36,073/78,785 = 78,785/x
  3. Step 3: Cross multiply
    36,073x = 78,785 × 78,785
  4. Step 4: Simplify right side
    36,073x = 6,207,076,225
  5. Step 5: Solve for x
    x = 6,207,076,225/36,073
  6. Step 6: Final answer
    x = 172,069.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.