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Finding the Third Proportional to 127,510 and 280,183

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Solution

The third proportional to 127,510 and 280,183 is: 615,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,510 : 280,183 = 280,183 : x
  2. Step 2: Convert to fraction form
    127,510/280,183 = 280,183/x
  3. Step 3: Cross multiply
    127,510x = 280,183 × 280,183
  4. Step 4: Simplify right side
    127,510x = 78,502,513,489
  5. Step 5: Solve for x
    x = 78,502,513,489/127,510
  6. Step 6: Final answer
    x = 615,657.70

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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.