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Finding the Third Proportional to 3,330.84 and 7,123.36

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Solution

The third proportional to 3,330.84 and 7,123.36 is: 15,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.84 : 7,123.36 = 7,123.36 : x
  2. Step 2: Convert to fraction form
    3,330.84/7,123.36 = 7,123.36/x
  3. Step 3: Cross multiply
    3,330.84x = 7,123.36 × 7,123.36
  4. Step 4: Simplify right side
    3,330.84x = 50,742,248.79
  5. Step 5: Solve for x
    x = 50,742,248.79/3,330.84
  6. Step 6: Final answer
    x = 15,234.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.