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Finding the Third Proportional to 185,143 and 280,311

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Solution

The third proportional to 185,143 and 280,311 is: 424,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,143 : 280,311 = 280,311 : x
  2. Step 2: Convert to fraction form
    185,143/280,311 = 280,311/x
  3. Step 3: Cross multiply
    185,143x = 280,311 × 280,311
  4. Step 4: Simplify right side
    185,143x = 78,574,256,721
  5. Step 5: Solve for x
    x = 78,574,256,721/185,143
  6. Step 6: Final answer
    x = 424,397.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.