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Finding the Third Proportional to 127,461 and 280,085

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Solution

The third proportional to 127,461 and 280,085 is: 615,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,461 : 280,085 = 280,085 : x
  2. Step 2: Convert to fraction form
    127,461/280,085 = 280,085/x
  3. Step 3: Cross multiply
    127,461x = 280,085 × 280,085
  4. Step 4: Simplify right side
    127,461x = 78,447,607,225
  5. Step 5: Solve for x
    x = 78,447,607,225/127,461
  6. Step 6: Final answer
    x = 615,463.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.