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Finding the Third Proportional to 278,448.75 and 418,290.75

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Solution

The third proportional to 278,448.75 and 418,290.75 is: 628,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,448.75 : 418,290.75 = 418,290.75 : x
  2. Step 2: Convert to fraction form
    278,448.75/418,290.75 = 418,290.75/x
  3. Step 3: Cross multiply
    278,448.75x = 418,290.75 × 418,290.75
  4. Step 4: Simplify right side
    278,448.75x = 174,967,151,535.56
  5. Step 5: Solve for x
    x = 174,967,151,535.56/278,448.75
  6. Step 6: Final answer
    x = 628,363.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.