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Finding the Third Proportional to 388,180 and 617,262

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Solution

The third proportional to 388,180 and 617,262 is: 981,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,180 : 617,262 = 617,262 : x
  2. Step 2: Convert to fraction form
    388,180/617,262 = 617,262/x
  3. Step 3: Cross multiply
    388,180x = 617,262 × 617,262
  4. Step 4: Simplify right side
    388,180x = 381,012,376,644
  5. Step 5: Solve for x
    x = 381,012,376,644/388,180
  6. Step 6: Final answer
    x = 981,535.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.