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Finding the Third Proportional to 121,197 and 260,385

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Solution

The third proportional to 121,197 and 260,385 is: 559,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,197 : 260,385 = 260,385 : x
  2. Step 2: Convert to fraction form
    121,197/260,385 = 260,385/x
  3. Step 3: Cross multiply
    121,197x = 260,385 × 260,385
  4. Step 4: Simplify right side
    121,197x = 67,800,348,225
  5. Step 5: Solve for x
    x = 67,800,348,225/121,197
  6. Step 6: Final answer
    x = 559,422.66

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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.