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Finding the Third Proportional to 280,859.75 and 614,265

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Solution

The third proportional to 280,859.75 and 614,265 is: 1,343,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,859.75 : 614,265 = 614,265 : x
  2. Step 2: Convert to fraction form
    280,859.75/614,265 = 614,265/x
  3. Step 3: Cross multiply
    280,859.75x = 614,265 × 614,265
  4. Step 4: Simplify right side
    280,859.75x = 377,321,490,225
  5. Step 5: Solve for x
    x = 377,321,490,225/280,859.75
  6. Step 6: Final answer
    x = 1,343,451.63

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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.