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Finding the Third Proportional to 5,528 and 11,982.50

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Solution

The third proportional to 5,528 and 11,982.50 is: 25,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528 : 11,982.50 = 11,982.50 : x
  2. Step 2: Convert to fraction form
    5,528/11,982.50 = 11,982.50/x
  3. Step 3: Cross multiply
    5,528x = 11,982.50 × 11,982.50
  4. Step 4: Simplify right side
    5,528x = 143,580,306.25
  5. Step 5: Solve for x
    x = 143,580,306.25/5,528
  6. Step 6: Final answer
    x = 25,973.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.