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Finding the Third Proportional to 118,706 and 280,217

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Solution

The third proportional to 118,706 and 280,217 is: 661,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,706 : 280,217 = 280,217 : x
  2. Step 2: Convert to fraction form
    118,706/280,217 = 280,217/x
  3. Step 3: Cross multiply
    118,706x = 280,217 × 280,217
  4. Step 4: Simplify right side
    118,706x = 78,521,567,089
  5. Step 5: Solve for x
    x = 78,521,567,089/118,706
  6. Step 6: Final answer
    x = 661,479.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.