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Finding the Third Proportional to 100,989 and 218,693

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Solution

The third proportional to 100,989 and 218,693 is: 473,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,989 : 218,693 = 218,693 : x
  2. Step 2: Convert to fraction form
    100,989/218,693 = 218,693/x
  3. Step 3: Cross multiply
    100,989x = 218,693 × 218,693
  4. Step 4: Simplify right side
    100,989x = 47,826,628,249
  5. Step 5: Solve for x
    x = 47,826,628,249/100,989
  6. Step 6: Final answer
    x = 473,582.55

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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.