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Finding the Third Proportional to 391,843 and 586,245

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Solution

The third proportional to 391,843 and 586,245 is: 877,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,843 : 586,245 = 586,245 : x
  2. Step 2: Convert to fraction form
    391,843/586,245 = 586,245/x
  3. Step 3: Cross multiply
    391,843x = 586,245 × 586,245
  4. Step 4: Simplify right side
    391,843x = 343,683,200,025
  5. Step 5: Solve for x
    x = 343,683,200,025/391,843
  6. Step 6: Final answer
    x = 877,094.14

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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.