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Finding the Third Proportional to 191,772.56 and 287,658.84

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Solution

The third proportional to 191,772.56 and 287,658.84 is: 431,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772.56 : 287,658.84 = 287,658.84 : x
  2. Step 2: Convert to fraction form
    191,772.56/287,658.84 = 287,658.84/x
  3. Step 3: Cross multiply
    191,772.56x = 287,658.84 × 287,658.84
  4. Step 4: Simplify right side
    191,772.56x = 82,747,610,387.59
  5. Step 5: Solve for x
    x = 82,747,610,387.59/191,772.56
  6. Step 6: Final answer
    x = 431,488.27

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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.