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Finding the Third Proportional to 166,085.44 and 257,878.69

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Solution

The third proportional to 166,085.44 and 257,878.69 is: 400,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,085.44 : 257,878.69 = 257,878.69 : x
  2. Step 2: Convert to fraction form
    166,085.44/257,878.69 = 257,878.69/x
  3. Step 3: Cross multiply
    166,085.44x = 257,878.69 × 257,878.69
  4. Step 4: Simplify right side
    166,085.44x = 66,501,417,466.72
  5. Step 5: Solve for x
    x = 66,501,417,466.72/166,085.44
  6. Step 6: Final answer
    x = 400,404.87

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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.