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Finding the Third Proportional to 8,420.06 and 18,454.78

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Solution

The third proportional to 8,420.06 and 18,454.78 is: 40,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.06 : 18,454.78 = 18,454.78 : x
  2. Step 2: Convert to fraction form
    8,420.06/18,454.78 = 18,454.78/x
  3. Step 3: Cross multiply
    8,420.06x = 18,454.78 × 18,454.78
  4. Step 4: Simplify right side
    8,420.06x = 340,578,950.99
  5. Step 5: Solve for x
    x = 340,578,950.99/8,420.06
  6. Step 6: Final answer
    x = 40,448.51

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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.