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Finding the Third Proportional to 3,889.90 and 9,320.38

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Solution

The third proportional to 3,889.90 and 9,320.38 is: 22,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.90 : 9,320.38 = 9,320.38 : x
  2. Step 2: Convert to fraction form
    3,889.90/9,320.38 = 9,320.38/x
  3. Step 3: Cross multiply
    3,889.90x = 9,320.38 × 9,320.38
  4. Step 4: Simplify right side
    3,889.90x = 86,869,462.96
  5. Step 5: Solve for x
    x = 86,869,462.96/3,889.90
  6. Step 6: Final answer
    x = 22,332.06

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.