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Finding the Third Proportional to 175,958 and 391,172

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Solution

The third proportional to 175,958 and 391,172 is: 869,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,958 : 391,172 = 391,172 : x
  2. Step 2: Convert to fraction form
    175,958/391,172 = 391,172/x
  3. Step 3: Cross multiply
    175,958x = 391,172 × 391,172
  4. Step 4: Simplify right side
    175,958x = 153,015,533,584
  5. Step 5: Solve for x
    x = 153,015,533,584/175,958
  6. Step 6: Final answer
    x = 869,613.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.