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Finding the Third Proportional to 20,844.84 and 45,841.10

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Solution

The third proportional to 20,844.84 and 45,841.10 is: 100,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.84 : 45,841.10 = 45,841.10 : x
  2. Step 2: Convert to fraction form
    20,844.84/45,841.10 = 45,841.10/x
  3. Step 3: Cross multiply
    20,844.84x = 45,841.10 × 45,841.10
  4. Step 4: Simplify right side
    20,844.84x = 2,101,406,055.26
  5. Step 5: Solve for x
    x = 2,101,406,055.26/20,844.84
  6. Step 6: Final answer
    x = 100,811.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.