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Finding the Third Proportional to 7,145 and 9,638.25

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Solution

The third proportional to 7,145 and 9,638.25 is: 13,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145 : 9,638.25 = 9,638.25 : x
  2. Step 2: Convert to fraction form
    7,145/9,638.25 = 9,638.25/x
  3. Step 3: Cross multiply
    7,145x = 9,638.25 × 9,638.25
  4. Step 4: Simplify right side
    7,145x = 92,895,863.06
  5. Step 5: Solve for x
    x = 92,895,863.06/7,145
  6. Step 6: Final answer
    x = 13,001.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.