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Finding the Third Proportional to 192,377 and 287,488

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Solution

The third proportional to 192,377 and 287,488 is: 429,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,377 : 287,488 = 287,488 : x
  2. Step 2: Convert to fraction form
    192,377/287,488 = 287,488/x
  3. Step 3: Cross multiply
    192,377x = 287,488 × 287,488
  4. Step 4: Simplify right side
    192,377x = 82,649,350,144
  5. Step 5: Solve for x
    x = 82,649,350,144/192,377
  6. Step 6: Final answer
    x = 429,621.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.