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Finding the Third Proportional to 23,104.62 and 47,302.10

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Solution

The third proportional to 23,104.62 and 47,302.10 is: 96,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.62 : 47,302.10 = 47,302.10 : x
  2. Step 2: Convert to fraction form
    23,104.62/47,302.10 = 47,302.10/x
  3. Step 3: Cross multiply
    23,104.62x = 47,302.10 × 47,302.10
  4. Step 4: Simplify right side
    23,104.62x = 2,237,488,812.23
  5. Step 5: Solve for x
    x = 2,237,488,812.23/23,104.62
  6. Step 6: Final answer
    x = 96,841.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.