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Finding the Third Proportional to 260,432.88 and 391,342.63

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Solution

The third proportional to 260,432.88 and 391,342.63 is: 588,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,432.88 : 391,342.63 = 391,342.63 : x
  2. Step 2: Convert to fraction form
    260,432.88/391,342.63 = 391,342.63/x
  3. Step 3: Cross multiply
    260,432.88x = 391,342.63 × 391,342.63
  4. Step 4: Simplify right side
    260,432.88x = 153,149,050,141.89
  5. Step 5: Solve for x
    x = 153,149,050,141.89/260,432.88
  6. Step 6: Final answer
    x = 588,055.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.