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Finding the Third Proportional to 121,398 and 266,883

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Solution

The third proportional to 121,398 and 266,883 is: 586,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,398 : 266,883 = 266,883 : x
  2. Step 2: Convert to fraction form
    121,398/266,883 = 266,883/x
  3. Step 3: Cross multiply
    121,398x = 266,883 × 266,883
  4. Step 4: Simplify right side
    121,398x = 71,226,535,689
  5. Step 5: Solve for x
    x = 71,226,535,689/121,398
  6. Step 6: Final answer
    x = 586,719.19

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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.