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Finding the Third Proportional to 388,125 and 617,179.50

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Solution

The third proportional to 388,125 and 617,179.50 is: 981,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,125 : 617,179.50 = 617,179.50 : x
  2. Step 2: Convert to fraction form
    388,125/617,179.50 = 617,179.50/x
  3. Step 3: Cross multiply
    388,125x = 617,179.50 × 617,179.50
  4. Step 4: Simplify right side
    388,125x = 380,910,535,220.25
  5. Step 5: Solve for x
    x = 380,910,535,220.25/388,125
  6. Step 6: Final answer
    x = 981,412.01

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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.