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Finding the Third Proportional to 280,023.75 and 614,479.50

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Solution

The third proportional to 280,023.75 and 614,479.50 is: 1,348,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,023.75 : 614,479.50 = 614,479.50 : x
  2. Step 2: Convert to fraction form
    280,023.75/614,479.50 = 614,479.50/x
  3. Step 3: Cross multiply
    280,023.75x = 614,479.50 × 614,479.50
  4. Step 4: Simplify right side
    280,023.75x = 377,585,055,920.25
  5. Step 5: Solve for x
    x = 377,585,055,920.25/280,023.75
  6. Step 6: Final answer
    x = 1,348,403.68

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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.