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Finding the Third Proportional to 4,172.77 and 9,002.39

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Solution

The third proportional to 4,172.77 and 9,002.39 is: 19,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.77 : 9,002.39 = 9,002.39 : x
  2. Step 2: Convert to fraction form
    4,172.77/9,002.39 = 9,002.39/x
  3. Step 3: Cross multiply
    4,172.77x = 9,002.39 × 9,002.39
  4. Step 4: Simplify right side
    4,172.77x = 81,043,036.97
  5. Step 5: Solve for x
    x = 81,043,036.97/4,172.77
  6. Step 6: Final answer
    x = 19,421.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.