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Finding the Third Proportional to 100,742 and 220,588

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Solution

The third proportional to 100,742 and 220,588 is: 483,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742 : 220,588 = 220,588 : x
  2. Step 2: Convert to fraction form
    100,742/220,588 = 220,588/x
  3. Step 3: Cross multiply
    100,742x = 220,588 × 220,588
  4. Step 4: Simplify right side
    100,742x = 48,659,065,744
  5. Step 5: Solve for x
    x = 48,659,065,744/100,742
  6. Step 6: Final answer
    x = 483,006.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.