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Finding the Third Proportional to 259,691.06 and 391,245.19

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Solution

The third proportional to 259,691.06 and 391,245.19 is: 589,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,691.06 : 391,245.19 = 391,245.19 : x
  2. Step 2: Convert to fraction form
    259,691.06/391,245.19 = 391,245.19/x
  3. Step 3: Cross multiply
    259,691.06x = 391,245.19 × 391,245.19
  4. Step 4: Simplify right side
    259,691.06x = 153,072,796,741.91
  5. Step 5: Solve for x
    x = 153,072,796,741.91/259,691.06
  6. Step 6: Final answer
    x = 589,441.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.