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Finding the Third Proportional to 142,521.75 and 309,684.75

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Solution

The third proportional to 142,521.75 and 309,684.75 is: 672,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,521.75 : 309,684.75 = 309,684.75 : x
  2. Step 2: Convert to fraction form
    142,521.75/309,684.75 = 309,684.75/x
  3. Step 3: Cross multiply
    142,521.75x = 309,684.75 × 309,684.75
  4. Step 4: Simplify right side
    142,521.75x = 95,904,644,382.56
  5. Step 5: Solve for x
    x = 95,904,644,382.56/142,521.75
  6. Step 6: Final answer
    x = 672,912.34

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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.