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Finding the Third Proportional to 5,511 and 9,728.25

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Solution

The third proportional to 5,511 and 9,728.25 is: 17,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511 : 9,728.25 = 9,728.25 : x
  2. Step 2: Convert to fraction form
    5,511/9,728.25 = 9,728.25/x
  3. Step 3: Cross multiply
    5,511x = 9,728.25 × 9,728.25
  4. Step 4: Simplify right side
    5,511x = 94,638,848.06
  5. Step 5: Solve for x
    x = 94,638,848.06/5,511
  6. Step 6: Final answer
    x = 17,172.72

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.