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Finding the Third Proportional to 166,566 and 218,686.50

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Solution

The third proportional to 166,566 and 218,686.50 is: 287,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,566 : 218,686.50 = 218,686.50 : x
  2. Step 2: Convert to fraction form
    166,566/218,686.50 = 218,686.50/x
  3. Step 3: Cross multiply
    166,566x = 218,686.50 × 218,686.50
  4. Step 4: Simplify right side
    166,566x = 47,823,785,282.25
  5. Step 5: Solve for x
    x = 47,823,785,282.25/166,566
  6. Step 6: Final answer
    x = 287,116.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.