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Finding the Third Proportional to 166,877.40 and 258,236.86

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Solution

The third proportional to 166,877.40 and 258,236.86 is: 399,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,877.40 : 258,236.86 = 258,236.86 : x
  2. Step 2: Convert to fraction form
    166,877.40/258,236.86 = 258,236.86/x
  3. Step 3: Cross multiply
    166,877.40x = 258,236.86 × 258,236.86
  4. Step 4: Simplify right side
    166,877.40x = 66,686,275,539.86
  5. Step 5: Solve for x
    x = 66,686,275,539.86/166,877.40
  6. Step 6: Final answer
    x = 399,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.