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Finding the Third Proportional to 121,647 and 266,613

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Solution

The third proportional to 121,647 and 266,613 is: 584,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,647 : 266,613 = 266,613 : x
  2. Step 2: Convert to fraction form
    121,647/266,613 = 266,613/x
  3. Step 3: Cross multiply
    121,647x = 266,613 × 266,613
  4. Step 4: Simplify right side
    121,647x = 71,082,491,769
  5. Step 5: Solve for x
    x = 71,082,491,769/121,647
  6. Step 6: Final answer
    x = 584,334.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.