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Finding the Third Proportional to 191,540 and 287,571

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Solution

The third proportional to 191,540 and 287,571 is: 431,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,540 : 287,571 = 287,571 : x
  2. Step 2: Convert to fraction form
    191,540/287,571 = 287,571/x
  3. Step 3: Cross multiply
    191,540x = 287,571 × 287,571
  4. Step 4: Simplify right side
    191,540x = 82,697,080,041
  5. Step 5: Solve for x
    x = 82,697,080,041/191,540
  6. Step 6: Final answer
    x = 431,748.36

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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.