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Finding the Third Proportional to 389,991.50 and 587,753.50

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Solution

The third proportional to 389,991.50 and 587,753.50 is: 885,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,991.50 : 587,753.50 = 587,753.50 : x
  2. Step 2: Convert to fraction form
    389,991.50/587,753.50 = 587,753.50/x
  3. Step 3: Cross multiply
    389,991.50x = 587,753.50 × 587,753.50
  4. Step 4: Simplify right side
    389,991.50x = 345,454,176,762.25
  5. Step 5: Solve for x
    x = 345,454,176,762.25/389,991.50
  6. Step 6: Final answer
    x = 885,799.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.