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Finding the Third Proportional to 7,291.69 and 15,621.19

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Solution

The third proportional to 7,291.69 and 15,621.19 is: 33,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.69 : 15,621.19 = 15,621.19 : x
  2. Step 2: Convert to fraction form
    7,291.69/15,621.19 = 15,621.19/x
  3. Step 3: Cross multiply
    7,291.69x = 15,621.19 × 15,621.19
  4. Step 4: Simplify right side
    7,291.69x = 244,021,498.91
  5. Step 5: Solve for x
    x = 244,021,498.91/7,291.69
  6. Step 6: Final answer
    x = 33,465.71

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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.