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Finding the Third Proportional to 9,215.30 and 13,899.30

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Solution

The third proportional to 9,215.30 and 13,899.30 is: 20,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.30 : 13,899.30 = 13,899.30 : x
  2. Step 2: Convert to fraction form
    9,215.30/13,899.30 = 13,899.30/x
  3. Step 3: Cross multiply
    9,215.30x = 13,899.30 × 13,899.30
  4. Step 4: Simplify right side
    9,215.30x = 193,190,670.80
  5. Step 5: Solve for x
    x = 193,190,670.80/9,215.30
  6. Step 6: Final answer
    x = 20,964.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.