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Finding the Third Proportional to 121,938 and 266,220

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Solution

The third proportional to 121,938 and 266,220 is: 581,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,938 : 266,220 = 266,220 : x
  2. Step 2: Convert to fraction form
    121,938/266,220 = 266,220/x
  3. Step 3: Cross multiply
    121,938x = 266,220 × 266,220
  4. Step 4: Simplify right side
    121,938x = 70,873,088,400
  5. Step 5: Solve for x
    x = 70,873,088,400/121,938
  6. Step 6: Final answer
    x = 581,222.33

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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.