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Finding the Third Proportional to 191,881 and 287,821

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Solution

The third proportional to 191,881 and 287,821 is: 431,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,881 : 287,821 = 287,821 : x
  2. Step 2: Convert to fraction form
    191,881/287,821 = 287,821/x
  3. Step 3: Cross multiply
    191,881x = 287,821 × 287,821
  4. Step 4: Simplify right side
    191,881x = 82,840,928,041
  5. Step 5: Solve for x
    x = 82,840,928,041/191,881
  6. Step 6: Final answer
    x = 431,730.75

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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.