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Finding the Third Proportional to 121,070 and 266,170

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Solution

The third proportional to 121,070 and 266,170 is: 585,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,070 : 266,170 = 266,170 : x
  2. Step 2: Convert to fraction form
    121,070/266,170 = 266,170/x
  3. Step 3: Cross multiply
    121,070x = 266,170 × 266,170
  4. Step 4: Simplify right side
    121,070x = 70,846,468,900
  5. Step 5: Solve for x
    x = 70,846,468,900/121,070
  6. Step 6: Final answer
    x = 585,169.48

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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.