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Finding the Third Proportional to 121,470 and 266,856

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Solution

The third proportional to 121,470 and 266,856 is: 586,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,470 : 266,856 = 266,856 : x
  2. Step 2: Convert to fraction form
    121,470/266,856 = 266,856/x
  3. Step 3: Cross multiply
    121,470x = 266,856 × 266,856
  4. Step 4: Simplify right side
    121,470x = 71,212,124,736
  5. Step 5: Solve for x
    x = 71,212,124,736/121,470
  6. Step 6: Final answer
    x = 586,252.78

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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.