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Finding the Third Proportional to 121,413 and 183,812

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Solution

The third proportional to 121,413 and 183,812 is: 278,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,413 : 183,812 = 183,812 : x
  2. Step 2: Convert to fraction form
    121,413/183,812 = 183,812/x
  3. Step 3: Cross multiply
    121,413x = 183,812 × 183,812
  4. Step 4: Simplify right side
    121,413x = 33,786,851,344
  5. Step 5: Solve for x
    x = 33,786,851,344/121,413
  6. Step 6: Final answer
    x = 278,280.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.