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Finding the Third Proportional to 121,937 and 266,218

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Solution

The third proportional to 121,937 and 266,218 is: 581,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,937 : 266,218 = 266,218 : x
  2. Step 2: Convert to fraction form
    121,937/266,218 = 266,218/x
  3. Step 3: Cross multiply
    121,937x = 266,218 × 266,218
  4. Step 4: Simplify right side
    121,937x = 70,872,023,524
  5. Step 5: Solve for x
    x = 70,872,023,524/121,937
  6. Step 6: Final answer
    x = 581,218.36

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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.