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Finding the Third Proportional to 191,778 and 287,667

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Solution

The third proportional to 191,778 and 287,667 is: 431,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,778 : 287,667 = 287,667 : x
  2. Step 2: Convert to fraction form
    191,778/287,667 = 287,667/x
  3. Step 3: Cross multiply
    191,778x = 287,667 × 287,667
  4. Step 4: Simplify right side
    191,778x = 82,752,302,889
  5. Step 5: Solve for x
    x = 82,752,302,889/191,778
  6. Step 6: Final answer
    x = 431,500.50

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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.