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Finding the Third Proportional to 10,486.97 and 20,442.38

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Solution

The third proportional to 10,486.97 and 20,442.38 is: 39,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.97 : 20,442.38 = 20,442.38 : x
  2. Step 2: Convert to fraction form
    10,486.97/20,442.38 = 20,442.38/x
  3. Step 3: Cross multiply
    10,486.97x = 20,442.38 × 20,442.38
  4. Step 4: Simplify right side
    10,486.97x = 417,890,695.64
  5. Step 5: Solve for x
    x = 417,890,695.64/10,486.97
  6. Step 6: Final answer
    x = 39,848.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.