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Finding the Third Proportional to 121,155 and 266,733

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Solution

The third proportional to 121,155 and 266,733 is: 587,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,155 : 266,733 = 266,733 : x
  2. Step 2: Convert to fraction form
    121,155/266,733 = 266,733/x
  3. Step 3: Cross multiply
    121,155x = 266,733 × 266,733
  4. Step 4: Simplify right side
    121,155x = 71,146,493,289
  5. Step 5: Solve for x
    x = 71,146,493,289/121,155
  6. Step 6: Final answer
    x = 587,235.30

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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.