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Finding the Third Proportional to 77,769 and 170,145.75

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Solution

The third proportional to 77,769 and 170,145.75 is: 372,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 170,145.75 = 170,145.75 : x
  2. Step 2: Convert to fraction form
    77,769/170,145.75 = 170,145.75/x
  3. Step 3: Cross multiply
    77,769x = 170,145.75 × 170,145.75
  4. Step 4: Simplify right side
    77,769x = 28,949,576,243.06
  5. Step 5: Solve for x
    x = 28,949,576,243.06/77,769
  6. Step 6: Final answer
    x = 372,250.85

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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.