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Finding the Third Proportional to 121,411 and 183,810

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Solution

The third proportional to 121,411 and 183,810 is: 278,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411 : 183,810 = 183,810 : x
  2. Step 2: Convert to fraction form
    121,411/183,810 = 183,810/x
  3. Step 3: Cross multiply
    121,411x = 183,810 × 183,810
  4. Step 4: Simplify right side
    121,411x = 33,786,116,100
  5. Step 5: Solve for x
    x = 33,786,116,100/121,411
  6. Step 6: Final answer
    x = 278,278.87

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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.