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Finding the Third Proportional to 20,770.13 and 45,045.75

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Solution

The third proportional to 20,770.13 and 45,045.75 is: 97,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.13 : 45,045.75 = 45,045.75 : x
  2. Step 2: Convert to fraction form
    20,770.13/45,045.75 = 45,045.75/x
  3. Step 3: Cross multiply
    20,770.13x = 45,045.75 × 45,045.75
  4. Step 4: Simplify right side
    20,770.13x = 2,029,119,593.06
  5. Step 5: Solve for x
    x = 2,029,119,593.06/20,770.13
  6. Step 6: Final answer
    x = 97,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.