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Finding the Third Proportional to 100,363.50 and 220,688

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Solution

The third proportional to 100,363.50 and 220,688 is: 485,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,363.50 : 220,688 = 220,688 : x
  2. Step 2: Convert to fraction form
    100,363.50/220,688 = 220,688/x
  3. Step 3: Cross multiply
    100,363.50x = 220,688 × 220,688
  4. Step 4: Simplify right side
    100,363.50x = 48,703,193,344
  5. Step 5: Solve for x
    x = 48,703,193,344/100,363.50
  6. Step 6: Final answer
    x = 485,267.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.