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Finding the Third Proportional to 9,811.13 and 21,178.13

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Solution

The third proportional to 9,811.13 and 21,178.13 is: 45,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 21,178.13 = 21,178.13 : x
  2. Step 2: Convert to fraction form
    9,811.13/21,178.13 = 21,178.13/x
  3. Step 3: Cross multiply
    9,811.13x = 21,178.13 × 21,178.13
  4. Step 4: Simplify right side
    9,811.13x = 448,512,978.52
  5. Step 5: Solve for x
    x = 448,512,978.52/9,811.13
  6. Step 6: Final answer
    x = 45,714.73

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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.