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Finding the Third Proportional to 7,300.13 and 9,497.25

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Solution

The third proportional to 7,300.13 and 9,497.25 is: 12,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.13 : 9,497.25 = 9,497.25 : x
  2. Step 2: Convert to fraction form
    7,300.13/9,497.25 = 9,497.25/x
  3. Step 3: Cross multiply
    7,300.13x = 9,497.25 × 9,497.25
  4. Step 4: Simplify right side
    7,300.13x = 90,197,757.56
  5. Step 5: Solve for x
    x = 90,197,757.56/7,300.13
  6. Step 6: Final answer
    x = 12,355.65

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.