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Finding the Third Proportional to 121,323 and 262,374

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Solution

The third proportional to 121,323 and 262,374 is: 567,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,323 : 262,374 = 262,374 : x
  2. Step 2: Convert to fraction form
    121,323/262,374 = 262,374/x
  3. Step 3: Cross multiply
    121,323x = 262,374 × 262,374
  4. Step 4: Simplify right side
    121,323x = 68,840,115,876
  5. Step 5: Solve for x
    x = 68,840,115,876/121,323
  6. Step 6: Final answer
    x = 567,411.92

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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.