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Finding the Third Proportional to 108,600.75 and 191,443.50

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Solution

The third proportional to 108,600.75 and 191,443.50 is: 337,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,600.75 : 191,443.50 = 191,443.50 : x
  2. Step 2: Convert to fraction form
    108,600.75/191,443.50 = 191,443.50/x
  3. Step 3: Cross multiply
    108,600.75x = 191,443.50 × 191,443.50
  4. Step 4: Simplify right side
    108,600.75x = 36,650,613,692.25
  5. Step 5: Solve for x
    x = 36,650,613,692.25/108,600.75
  6. Step 6: Final answer
    x = 337,480.30

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.