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Finding the Third Proportional to 391,876 and 588,342

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Solution

The third proportional to 391,876 and 588,342 is: 883,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,876 : 588,342 = 588,342 : x
  2. Step 2: Convert to fraction form
    391,876/588,342 = 588,342/x
  3. Step 3: Cross multiply
    391,876x = 588,342 × 588,342
  4. Step 4: Simplify right side
    391,876x = 346,146,308,964
  5. Step 5: Solve for x
    x = 346,146,308,964/391,876
  6. Step 6: Final answer
    x = 883,305.71

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