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Finding the Third Proportional to 388,128 and 617,184

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Solution

The third proportional to 388,128 and 617,184 is: 981,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,128 : 617,184 = 617,184 : x
  2. Step 2: Convert to fraction form
    388,128/617,184 = 617,184/x
  3. Step 3: Cross multiply
    388,128x = 617,184 × 617,184
  4. Step 4: Simplify right side
    388,128x = 380,916,089,856
  5. Step 5: Solve for x
    x = 380,916,089,856/388,128
  6. Step 6: Final answer
    x = 981,418.73

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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.