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Finding the Third Proportional to 121,375 and 247,569.50

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Solution

The third proportional to 121,375 and 247,569.50 is: 504,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,375 : 247,569.50 = 247,569.50 : x
  2. Step 2: Convert to fraction form
    121,375/247,569.50 = 247,569.50/x
  3. Step 3: Cross multiply
    121,375x = 247,569.50 × 247,569.50
  4. Step 4: Simplify right side
    121,375x = 61,290,657,330.25
  5. Step 5: Solve for x
    x = 61,290,657,330.25/121,375
  6. Step 6: Final answer
    x = 504,969.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.