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Finding the Third Proportional to 156,340.60 and 258,757.98

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Solution

The third proportional to 156,340.60 and 258,757.98 is: 428,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,340.60 : 258,757.98 = 258,757.98 : x
  2. Step 2: Convert to fraction form
    156,340.60/258,757.98 = 258,757.98/x
  3. Step 3: Cross multiply
    156,340.60x = 258,757.98 × 258,757.98
  4. Step 4: Simplify right side
    156,340.60x = 66,955,692,456.27
  5. Step 5: Solve for x
    x = 66,955,692,456.27/156,340.60
  6. Step 6: Final answer
    x = 428,268.11

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.