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Finding the Third Proportional to 121,817.25 and 187,480.25

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Solution

The third proportional to 121,817.25 and 187,480.25 is: 288,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,817.25 : 187,480.25 = 187,480.25 : x
  2. Step 2: Convert to fraction form
    121,817.25/187,480.25 = 187,480.25/x
  3. Step 3: Cross multiply
    121,817.25x = 187,480.25 × 187,480.25
  4. Step 4: Simplify right side
    121,817.25x = 35,148,844,140.06
  5. Step 5: Solve for x
    x = 35,148,844,140.06/121,817.25
  6. Step 6: Final answer
    x = 288,537.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.