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Finding the Third Proportional to 121,383 and 266,914

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Solution

The third proportional to 121,383 and 266,914 is: 586,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,383 : 266,914 = 266,914 : x
  2. Step 2: Convert to fraction form
    121,383/266,914 = 266,914/x
  3. Step 3: Cross multiply
    121,383x = 266,914 × 266,914
  4. Step 4: Simplify right side
    121,383x = 71,243,083,396
  5. Step 5: Solve for x
    x = 71,243,083,396/121,383
  6. Step 6: Final answer
    x = 586,928.02

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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.