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Finding the Third Proportional to 166,856 and 258,574

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Solution

The third proportional to 166,856 and 258,574 is: 400,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,856 : 258,574 = 258,574 : x
  2. Step 2: Convert to fraction form
    166,856/258,574 = 258,574/x
  3. Step 3: Cross multiply
    166,856x = 258,574 × 258,574
  4. Step 4: Simplify right side
    166,856x = 66,860,513,476
  5. Step 5: Solve for x
    x = 66,860,513,476/166,856
  6. Step 6: Final answer
    x = 400,707.88

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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.