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Finding the Third Proportional to 10,342.78 and 22,325.44

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Solution

The third proportional to 10,342.78 and 22,325.44 is: 48,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.78 : 22,325.44 = 22,325.44 : x
  2. Step 2: Convert to fraction form
    10,342.78/22,325.44 = 22,325.44/x
  3. Step 3: Cross multiply
    10,342.78x = 22,325.44 × 22,325.44
  4. Step 4: Simplify right side
    10,342.78x = 498,425,159.57
  5. Step 5: Solve for x
    x = 498,425,159.57/10,342.78
  6. Step 6: Final answer
    x = 48,190.63

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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.