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Finding the Third Proportional to 7,312.78 and 16,243.03

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Solution

The third proportional to 7,312.78 and 16,243.03 is: 36,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.78 : 16,243.03 = 16,243.03 : x
  2. Step 2: Convert to fraction form
    7,312.78/16,243.03 = 16,243.03/x
  3. Step 3: Cross multiply
    7,312.78x = 16,243.03 × 16,243.03
  4. Step 4: Simplify right side
    7,312.78x = 263,836,064.19
  5. Step 5: Solve for x
    x = 263,836,064.19/7,312.78
  6. Step 6: Final answer
    x = 36,078.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.