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Finding the Third Proportional to 121,418 and 183,820

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Solution

The third proportional to 121,418 and 183,820 is: 278,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,418 : 183,820 = 183,820 : x
  2. Step 2: Convert to fraction form
    121,418/183,820 = 183,820/x
  3. Step 3: Cross multiply
    121,418x = 183,820 × 183,820
  4. Step 4: Simplify right side
    121,418x = 33,789,792,400
  5. Step 5: Solve for x
    x = 33,789,792,400/121,418
  6. Step 6: Final answer
    x = 278,293.11

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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.