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Finding the Third Proportional to 191,787 and 287,681

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Solution

The third proportional to 191,787 and 287,681 is: 431,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,787 : 287,681 = 287,681 : x
  2. Step 2: Convert to fraction form
    191,787/287,681 = 287,681/x
  3. Step 3: Cross multiply
    191,787x = 287,681 × 287,681
  4. Step 4: Simplify right side
    191,787x = 82,760,357,761
  5. Step 5: Solve for x
    x = 82,760,357,761/191,787
  6. Step 6: Final answer
    x = 431,522.25

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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.