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Finding the Third Proportional to 280,400 and 608,124

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Solution

The third proportional to 280,400 and 608,124 is: 1,318,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,400 : 608,124 = 608,124 : x
  2. Step 2: Convert to fraction form
    280,400/608,124 = 608,124/x
  3. Step 3: Cross multiply
    280,400x = 608,124 × 608,124
  4. Step 4: Simplify right side
    280,400x = 369,814,799,376
  5. Step 5: Solve for x
    x = 369,814,799,376/280,400
  6. Step 6: Final answer
    x = 1,318,883.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.