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Finding the Third Proportional to 388,186 and 617,270

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Solution

The third proportional to 388,186 and 617,270 is: 981,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,186 : 617,270 = 617,270 : x
  2. Step 2: Convert to fraction form
    388,186/617,270 = 617,270/x
  3. Step 3: Cross multiply
    388,186x = 617,270 × 617,270
  4. Step 4: Simplify right side
    388,186x = 381,022,252,900
  5. Step 5: Solve for x
    x = 381,022,252,900/388,186
  6. Step 6: Final answer
    x = 981,545.58

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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.