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Finding the Third Proportional to 121,932 and 266,112

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Solution

The third proportional to 121,932 and 266,112 is: 580,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,932 : 266,112 = 266,112 : x
  2. Step 2: Convert to fraction form
    121,932/266,112 = 266,112/x
  3. Step 3: Cross multiply
    121,932x = 266,112 × 266,112
  4. Step 4: Simplify right side
    121,932x = 70,815,596,544
  5. Step 5: Solve for x
    x = 70,815,596,544/121,932
  6. Step 6: Final answer
    x = 580,779.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.