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Finding the Third Proportional to 5,523 and 9,058.50

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Solution

The third proportional to 5,523 and 9,058.50 is: 14,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523 : 9,058.50 = 9,058.50 : x
  2. Step 2: Convert to fraction form
    5,523/9,058.50 = 9,058.50/x
  3. Step 3: Cross multiply
    5,523x = 9,058.50 × 9,058.50
  4. Step 4: Simplify right side
    5,523x = 82,056,422.25
  5. Step 5: Solve for x
    x = 82,056,422.25/5,523
  6. Step 6: Final answer
    x = 14,857.22

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.