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Finding the Third Proportional to 388,122.50 and 617,175.75

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Solution

The third proportional to 388,122.50 and 617,175.75 is: 981,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,122.50 : 617,175.75 = 617,175.75 : x
  2. Step 2: Convert to fraction form
    388,122.50/617,175.75 = 617,175.75/x
  3. Step 3: Cross multiply
    388,122.50x = 617,175.75 × 617,175.75
  4. Step 4: Simplify right side
    388,122.50x = 380,905,906,388.06
  5. Step 5: Solve for x
    x = 380,905,906,388.06/388,122.50
  6. Step 6: Final answer
    x = 981,406.40

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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.