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Finding the Third Proportional to 80,127 and 175,137.75

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Solution

The third proportional to 80,127 and 175,137.75 is: 382,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,127 : 175,137.75 = 175,137.75 : x
  2. Step 2: Convert to fraction form
    80,127/175,137.75 = 175,137.75/x
  3. Step 3: Cross multiply
    80,127x = 175,137.75 × 175,137.75
  4. Step 4: Simplify right side
    80,127x = 30,673,231,475.06
  5. Step 5: Solve for x
    x = 30,673,231,475.06/80,127
  6. Step 6: Final answer
    x = 382,807.69

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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.