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Finding the Third Proportional to 278,440.03 and 418,275.14

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Solution

The third proportional to 278,440.03 and 418,275.14 is: 628,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,440.03 : 418,275.14 = 418,275.14 : x
  2. Step 2: Convert to fraction form
    278,440.03/418,275.14 = 418,275.14/x
  3. Step 3: Cross multiply
    278,440.03x = 418,275.14 × 418,275.14
  4. Step 4: Simplify right side
    278,440.03x = 174,954,093,264.86
  5. Step 5: Solve for x
    x = 174,954,093,264.86/278,440.03
  6. Step 6: Final answer
    x = 628,336.71

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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.