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Finding the Third Proportional to 280,761 and 614,011

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Solution

The third proportional to 280,761 and 614,011 is: 1,342,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,761 : 614,011 = 614,011 : x
  2. Step 2: Convert to fraction form
    280,761/614,011 = 614,011/x
  3. Step 3: Cross multiply
    280,761x = 614,011 × 614,011
  4. Step 4: Simplify right side
    280,761x = 377,009,508,121
  5. Step 5: Solve for x
    x = 377,009,508,121/280,761
  6. Step 6: Final answer
    x = 1,342,812.96

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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.