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Finding the Third Proportional to 280,960 and 614,480

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Solution

The third proportional to 280,960 and 614,480 is: 1,343,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,960 : 614,480 = 614,480 : x
  2. Step 2: Convert to fraction form
    280,960/614,480 = 614,480/x
  3. Step 3: Cross multiply
    280,960x = 614,480 × 614,480
  4. Step 4: Simplify right side
    280,960x = 377,585,670,400
  5. Step 5: Solve for x
    x = 377,585,670,400/280,960
  6. Step 6: Final answer
    x = 1,343,912.55

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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.