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Finding the Third Proportional to 20,419.59 and 45,213.19

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Solution

The third proportional to 20,419.59 and 45,213.19 is: 100,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.59 : 45,213.19 = 45,213.19 : x
  2. Step 2: Convert to fraction form
    20,419.59/45,213.19 = 45,213.19/x
  3. Step 3: Cross multiply
    20,419.59x = 45,213.19 × 45,213.19
  4. Step 4: Simplify right side
    20,419.59x = 2,044,232,323.91
  5. Step 5: Solve for x
    x = 2,044,232,323.91/20,419.59
  6. Step 6: Final answer
    x = 100,111.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.