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Finding the Third Proportional to 255,686.78 and 391,314.96

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Solution

The third proportional to 255,686.78 and 391,314.96 is: 598,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,686.78 : 391,314.96 = 391,314.96 : x
  2. Step 2: Convert to fraction form
    255,686.78/391,314.96 = 391,314.96/x
  3. Step 3: Cross multiply
    255,686.78x = 391,314.96 × 391,314.96
  4. Step 4: Simplify right side
    255,686.78x = 153,127,394,067.79
  5. Step 5: Solve for x
    x = 153,127,394,067.79/255,686.78
  6. Step 6: Final answer
    x = 598,886.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.