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Finding the Third Proportional to 7,603.72 and 16,688.21

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Solution

The third proportional to 7,603.72 and 16,688.21 is: 36,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.72 : 16,688.21 = 16,688.21 : x
  2. Step 2: Convert to fraction form
    7,603.72/16,688.21 = 16,688.21/x
  3. Step 3: Cross multiply
    7,603.72x = 16,688.21 × 16,688.21
  4. Step 4: Simplify right side
    7,603.72x = 278,496,514.67
  5. Step 5: Solve for x
    x = 278,496,514.67/7,603.72
  6. Step 6: Final answer
    x = 36,626.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.