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Finding the Third Proportional to 36,143.16 and 78,319.97

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Solution

The third proportional to 36,143.16 and 78,319.97 is: 169,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.16 : 78,319.97 = 78,319.97 : x
  2. Step 2: Convert to fraction form
    36,143.16/78,319.97 = 78,319.97/x
  3. Step 3: Cross multiply
    36,143.16x = 78,319.97 × 78,319.97
  4. Step 4: Simplify right side
    36,143.16x = 6,134,017,505.00
  5. Step 5: Solve for x
    x = 6,134,017,505.00/36,143.16
  6. Step 6: Final answer
    x = 169,714.49

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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.