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Finding the Third Proportional to 260,986 and 391,358

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Solution

The third proportional to 260,986 and 391,358 is: 586,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,986 : 391,358 = 391,358 : x
  2. Step 2: Convert to fraction form
    260,986/391,358 = 391,358/x
  3. Step 3: Cross multiply
    260,986x = 391,358 × 391,358
  4. Step 4: Simplify right side
    260,986x = 153,161,084,164
  5. Step 5: Solve for x
    x = 153,161,084,164/260,986
  6. Step 6: Final answer
    x = 586,855.56

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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.