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Finding the Third Proportional to 258,891.75 and 349,780.50

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Solution

The third proportional to 258,891.75 and 349,780.50 is: 472,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,891.75 : 349,780.50 = 349,780.50 : x
  2. Step 2: Convert to fraction form
    258,891.75/349,780.50 = 349,780.50/x
  3. Step 3: Cross multiply
    258,891.75x = 349,780.50 × 349,780.50
  4. Step 4: Simplify right side
    258,891.75x = 122,346,398,180.25
  5. Step 5: Solve for x
    x = 122,346,398,180.25/258,891.75
  6. Step 6: Final answer
    x = 472,577.43

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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.