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Finding the Third Proportional to 121,248 and 261,855

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Solution

The third proportional to 121,248 and 261,855 is: 565,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,248 : 261,855 = 261,855 : x
  2. Step 2: Convert to fraction form
    121,248/261,855 = 261,855/x
  3. Step 3: Cross multiply
    121,248x = 261,855 × 261,855
  4. Step 4: Simplify right side
    121,248x = 68,568,041,025
  5. Step 5: Solve for x
    x = 68,568,041,025/121,248
  6. Step 6: Final answer
    x = 565,518.94

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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.