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Finding the Third Proportional to 4,801 and 10,443.50

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Solution

The third proportional to 4,801 and 10,443.50 is: 22,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801 : 10,443.50 = 10,443.50 : x
  2. Step 2: Convert to fraction form
    4,801/10,443.50 = 10,443.50/x
  3. Step 3: Cross multiply
    4,801x = 10,443.50 × 10,443.50
  4. Step 4: Simplify right side
    4,801x = 109,066,692.25
  5. Step 5: Solve for x
    x = 109,066,692.25/4,801
  6. Step 6: Final answer
    x = 22,717.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.