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Finding the Third Proportional to 7,124.84 and 15,007.15

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Solution

The third proportional to 7,124.84 and 15,007.15 is: 31,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.84 : 15,007.15 = 15,007.15 : x
  2. Step 2: Convert to fraction form
    7,124.84/15,007.15 = 15,007.15/x
  3. Step 3: Cross multiply
    7,124.84x = 15,007.15 × 15,007.15
  4. Step 4: Simplify right side
    7,124.84x = 225,214,504.23
  5. Step 5: Solve for x
    x = 225,214,504.23/7,124.84
  6. Step 6: Final answer
    x = 31,609.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.