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Finding the Third Proportional to 121,348 and 183,720

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Solution

The third proportional to 121,348 and 183,720 is: 278,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,348 : 183,720 = 183,720 : x
  2. Step 2: Convert to fraction form
    121,348/183,720 = 183,720/x
  3. Step 3: Cross multiply
    121,348x = 183,720 × 183,720
  4. Step 4: Simplify right side
    121,348x = 33,753,038,400
  5. Step 5: Solve for x
    x = 33,753,038,400/121,348
  6. Step 6: Final answer
    x = 278,150.76

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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.