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Finding the Third Proportional to 136,444.50 and 207,420.75

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Solution

The third proportional to 136,444.50 and 207,420.75 is: 315,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,444.50 : 207,420.75 = 207,420.75 : x
  2. Step 2: Convert to fraction form
    136,444.50/207,420.75 = 207,420.75/x
  3. Step 3: Cross multiply
    136,444.50x = 207,420.75 × 207,420.75
  4. Step 4: Simplify right side
    136,444.50x = 43,023,367,530.56
  5. Step 5: Solve for x
    x = 43,023,367,530.56/136,444.50
  6. Step 6: Final answer
    x = 315,317.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.