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Finding the Third Proportional to 166,887 and 258,888

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Solution

The third proportional to 166,887 and 258,888 is: 401,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,887 : 258,888 = 258,888 : x
  2. Step 2: Convert to fraction form
    166,887/258,888 = 258,888/x
  3. Step 3: Cross multiply
    166,887x = 258,888 × 258,888
  4. Step 4: Simplify right side
    166,887x = 67,022,996,544
  5. Step 5: Solve for x
    x = 67,022,996,544/166,887
  6. Step 6: Final answer
    x = 401,607.05

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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.