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Finding the Third Proportional to 20,643.19 and 45,820.69

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Solution

The third proportional to 20,643.19 and 45,820.69 is: 101,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.19 : 45,820.69 = 45,820.69 : x
  2. Step 2: Convert to fraction form
    20,643.19/45,820.69 = 45,820.69/x
  3. Step 3: Cross multiply
    20,643.19x = 45,820.69 × 45,820.69
  4. Step 4: Simplify right side
    20,643.19x = 2,099,535,402.97
  5. Step 5: Solve for x
    x = 2,099,535,402.97/20,643.19
  6. Step 6: Final answer
    x = 101,705.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.