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Finding the Third Proportional to 55,648.31 and 131,231.16

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Solution

The third proportional to 55,648.31 and 131,231.16 is: 309,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648.31 : 131,231.16 = 131,231.16 : x
  2. Step 2: Convert to fraction form
    55,648.31/131,231.16 = 131,231.16/x
  3. Step 3: Cross multiply
    55,648.31x = 131,231.16 × 131,231.16
  4. Step 4: Simplify right side
    55,648.31x = 17,221,616,370.71
  5. Step 5: Solve for x
    x = 17,221,616,370.71/55,648.31
  6. Step 6: Final answer
    x = 309,472.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.