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Finding the Third Proportional to 10,899 and 23,106.38

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Solution

The third proportional to 10,899 and 23,106.38 is: 48,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899 : 23,106.38 = 23,106.38 : x
  2. Step 2: Convert to fraction form
    10,899/23,106.38 = 23,106.38/x
  3. Step 3: Cross multiply
    10,899x = 23,106.38 × 23,106.38
  4. Step 4: Simplify right side
    10,899x = 533,904,565.64
  5. Step 5: Solve for x
    x = 533,904,565.64/10,899
  6. Step 6: Final answer
    x = 48,986.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.