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Finding the Third Proportional to 259,530.75 and 349,211.25

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Solution

The third proportional to 259,530.75 and 349,211.25 is: 469,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,530.75 : 349,211.25 = 349,211.25 : x
  2. Step 2: Convert to fraction form
    259,530.75/349,211.25 = 349,211.25/x
  3. Step 3: Cross multiply
    259,530.75x = 349,211.25 × 349,211.25
  4. Step 4: Simplify right side
    259,530.75x = 121,948,497,126.56
  5. Step 5: Solve for x
    x = 121,948,497,126.56/259,530.75
  6. Step 6: Final answer
    x = 469,880.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.