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Finding the Third Proportional to 121,249 and 263,482

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Solution

The third proportional to 121,249 and 263,482 is: 572,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,249 : 263,482 = 263,482 : x
  2. Step 2: Convert to fraction form
    121,249/263,482 = 263,482/x
  3. Step 3: Cross multiply
    121,249x = 263,482 × 263,482
  4. Step 4: Simplify right side
    121,249x = 69,422,764,324
  5. Step 5: Solve for x
    x = 69,422,764,324/121,249
  6. Step 6: Final answer
    x = 572,563.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.