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Finding the Third Proportional to 8,420.63 and 18,235.13

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Solution

The third proportional to 8,420.63 and 18,235.13 is: 39,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.63 : 18,235.13 = 18,235.13 : x
  2. Step 2: Convert to fraction form
    8,420.63/18,235.13 = 18,235.13/x
  3. Step 3: Cross multiply
    8,420.63x = 18,235.13 × 18,235.13
  4. Step 4: Simplify right side
    8,420.63x = 332,519,783.77
  5. Step 5: Solve for x
    x = 332,519,783.77/8,420.63
  6. Step 6: Final answer
    x = 39,488.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.