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Finding the Third Proportional to 166,857 and 258,578.25

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Solution

The third proportional to 166,857 and 258,578.25 is: 400,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,857 : 258,578.25 = 258,578.25 : x
  2. Step 2: Convert to fraction form
    166,857/258,578.25 = 258,578.25/x
  3. Step 3: Cross multiply
    166,857x = 258,578.25 × 258,578.25
  4. Step 4: Simplify right side
    166,857x = 66,862,711,373.06
  5. Step 5: Solve for x
    x = 66,862,711,373.06/166,857
  6. Step 6: Final answer
    x = 400,718.65

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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.