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Finding the Third Proportional to 121,570 and 261,121

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Solution

The third proportional to 121,570 and 261,121 is: 560,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,570 : 261,121 = 261,121 : x
  2. Step 2: Convert to fraction form
    121,570/261,121 = 261,121/x
  3. Step 3: Cross multiply
    121,570x = 261,121 × 261,121
  4. Step 4: Simplify right side
    121,570x = 68,184,176,641
  5. Step 5: Solve for x
    x = 68,184,176,641/121,570
  6. Step 6: Final answer
    x = 560,863.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.