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Finding the Third Proportional to 121,215 and 263,793

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Solution

The third proportional to 121,215 and 263,793 is: 574,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,215 : 263,793 = 263,793 : x
  2. Step 2: Convert to fraction form
    121,215/263,793 = 263,793/x
  3. Step 3: Cross multiply
    121,215x = 263,793 × 263,793
  4. Step 4: Simplify right side
    121,215x = 69,586,746,849
  5. Step 5: Solve for x
    x = 69,586,746,849/121,215
  6. Step 6: Final answer
    x = 574,077.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.