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Finding the Third Proportional to 121,266 and 261,844

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Solution

The third proportional to 121,266 and 261,844 is: 565,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,266 : 261,844 = 261,844 : x
  2. Step 2: Convert to fraction form
    121,266/261,844 = 261,844/x
  3. Step 3: Cross multiply
    121,266x = 261,844 × 261,844
  4. Step 4: Simplify right side
    121,266x = 68,562,280,336
  5. Step 5: Solve for x
    x = 68,562,280,336/121,266
  6. Step 6: Final answer
    x = 565,387.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.