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Finding the Third Proportional to 388,118 and 617,169

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Solution

The third proportional to 388,118 and 617,169 is: 981,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,118 : 617,169 = 617,169 : x
  2. Step 2: Convert to fraction form
    388,118/617,169 = 617,169/x
  3. Step 3: Cross multiply
    388,118x = 617,169 × 617,169
  4. Step 4: Simplify right side
    388,118x = 380,897,574,561
  5. Step 5: Solve for x
    x = 380,897,574,561/388,118
  6. Step 6: Final answer
    x = 981,396.31

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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.