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Finding the Third Proportional to 7,222.78 and 15,465.09

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Solution

The third proportional to 7,222.78 and 15,465.09 is: 33,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.78 : 15,465.09 = 15,465.09 : x
  2. Step 2: Convert to fraction form
    7,222.78/15,465.09 = 15,465.09/x
  3. Step 3: Cross multiply
    7,222.78x = 15,465.09 × 15,465.09
  4. Step 4: Simplify right side
    7,222.78x = 239,169,124.70
  5. Step 5: Solve for x
    x = 239,169,124.70/7,222.78
  6. Step 6: Final answer
    x = 33,113.16

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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.