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Finding the Third Proportional to 121,169 and 266,402

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Solution

The third proportional to 121,169 and 266,402 is: 585,711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,169 : 266,402 = 266,402 : x
  2. Step 2: Convert to fraction form
    121,169/266,402 = 266,402/x
  3. Step 3: Cross multiply
    121,169x = 266,402 × 266,402
  4. Step 4: Simplify right side
    121,169x = 70,970,025,604
  5. Step 5: Solve for x
    x = 70,970,025,604/121,169
  6. Step 6: Final answer
    x = 585,711.08

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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.