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Finding the Third Proportional to 121,870.31 and 271,746.75

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Solution

The third proportional to 121,870.31 and 271,746.75 is: 605,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,870.31 : 271,746.75 = 271,746.75 : x
  2. Step 2: Convert to fraction form
    121,870.31/271,746.75 = 271,746.75/x
  3. Step 3: Cross multiply
    121,870.31x = 271,746.75 × 271,746.75
  4. Step 4: Simplify right side
    121,870.31x = 73,846,296,135.56
  5. Step 5: Solve for x
    x = 73,846,296,135.56/121,870.31
  6. Step 6: Final answer
    x = 605,941.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.