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Finding the Third Proportional to 108,739 and 220,551.50

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Solution

The third proportional to 108,739 and 220,551.50 is: 447,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,739 : 220,551.50 = 220,551.50 : x
  2. Step 2: Convert to fraction form
    108,739/220,551.50 = 220,551.50/x
  3. Step 3: Cross multiply
    108,739x = 220,551.50 × 220,551.50
  4. Step 4: Simplify right side
    108,739x = 48,642,964,152.25
  5. Step 5: Solve for x
    x = 48,642,964,152.25/108,739
  6. Step 6: Final answer
    x = 447,336.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.