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Finding the Third Proportional to 278,360.50 and 609,920.25

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Solution

The third proportional to 278,360.50 and 609,920.25 is: 1,336,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,360.50 : 609,920.25 = 609,920.25 : x
  2. Step 2: Convert to fraction form
    278,360.50/609,920.25 = 609,920.25/x
  3. Step 3: Cross multiply
    278,360.50x = 609,920.25 × 609,920.25
  4. Step 4: Simplify right side
    278,360.50x = 372,002,711,360.06
  5. Step 5: Solve for x
    x = 372,002,711,360.06/278,360.50
  6. Step 6: Final answer
    x = 1,336,406.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.