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Finding the Third Proportional to 157,240.88 and 345,371.25

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Solution

The third proportional to 157,240.88 and 345,371.25 is: 758,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,240.88 : 345,371.25 = 345,371.25 : x
  2. Step 2: Convert to fraction form
    157,240.88/345,371.25 = 345,371.25/x
  3. Step 3: Cross multiply
    157,240.88x = 345,371.25 × 345,371.25
  4. Step 4: Simplify right side
    157,240.88x = 119,281,300,326.56
  5. Step 5: Solve for x
    x = 119,281,300,326.56/157,240.88
  6. Step 6: Final answer
    x = 758,589.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.