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Finding the Third Proportional to 100,986 and 218,686.50

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Solution

The third proportional to 100,986 and 218,686.50 is: 473,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,986 : 218,686.50 = 218,686.50 : x
  2. Step 2: Convert to fraction form
    100,986/218,686.50 = 218,686.50/x
  3. Step 3: Cross multiply
    100,986x = 218,686.50 × 218,686.50
  4. Step 4: Simplify right side
    100,986x = 47,823,785,282.25
  5. Step 5: Solve for x
    x = 47,823,785,282.25/100,986
  6. Step 6: Final answer
    x = 473,568.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.