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Finding the Third Proportional to 121,171.50 and 254,742.19

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Solution

The third proportional to 121,171.50 and 254,742.19 is: 535,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,171.50 : 254,742.19 = 254,742.19 : x
  2. Step 2: Convert to fraction form
    121,171.50/254,742.19 = 254,742.19/x
  3. Step 3: Cross multiply
    121,171.50x = 254,742.19 × 254,742.19
  4. Step 4: Simplify right side
    121,171.50x = 64,893,582,092.29
  5. Step 5: Solve for x
    x = 64,893,582,092.29/121,171.50
  6. Step 6: Final answer
    x = 535,551.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.