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Finding the Third Proportional to 77,718 and 170,229.75

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Solution

The third proportional to 77,718 and 170,229.75 is: 372,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718 : 170,229.75 = 170,229.75 : x
  2. Step 2: Convert to fraction form
    77,718/170,229.75 = 170,229.75/x
  3. Step 3: Cross multiply
    77,718x = 170,229.75 × 170,229.75
  4. Step 4: Simplify right side
    77,718x = 28,978,167,785.06
  5. Step 5: Solve for x
    x = 28,978,167,785.06/77,718
  6. Step 6: Final answer
    x = 372,863.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.