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Finding the Third Proportional to 8,431.50 and 19,894.13

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Solution

The third proportional to 8,431.50 and 19,894.13 is: 46,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.50 : 19,894.13 = 19,894.13 : x
  2. Step 2: Convert to fraction form
    8,431.50/19,894.13 = 19,894.13/x
  3. Step 3: Cross multiply
    8,431.50x = 19,894.13 × 19,894.13
  4. Step 4: Simplify right side
    8,431.50x = 395,776,209.52
  5. Step 5: Solve for x
    x = 395,776,209.52/8,431.50
  6. Step 6: Final answer
    x = 46,940.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.