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Finding the Third Proportional to 388,122 and 617,175

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Solution

The third proportional to 388,122 and 617,175 is: 981,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,122 : 617,175 = 617,175 : x
  2. Step 2: Convert to fraction form
    388,122/617,175 = 617,175/x
  3. Step 3: Cross multiply
    388,122x = 617,175 × 617,175
  4. Step 4: Simplify right side
    388,122x = 380,904,980,625
  5. Step 5: Solve for x
    x = 380,904,980,625/388,122
  6. Step 6: Final answer
    x = 981,405.28

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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.