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Finding the Third Proportional to 260,590.50 and 391,511.81

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Solution

The third proportional to 260,590.50 and 391,511.81 is: 588,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,590.50 : 391,511.81 = 391,511.81 : x
  2. Step 2: Convert to fraction form
    260,590.50/391,511.81 = 391,511.81/x
  3. Step 3: Cross multiply
    260,590.50x = 391,511.81 × 391,511.81
  4. Step 4: Simplify right side
    260,590.50x = 153,281,499,327.04
  5. Step 5: Solve for x
    x = 153,281,499,327.04/260,590.50
  6. Step 6: Final answer
    x = 588,208.32

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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.