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Finding the Third Proportional to 19,045.13 and 20,457.56

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Solution

The third proportional to 19,045.13 and 20,457.56 is: 21,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,045.13 : 20,457.56 = 20,457.56 : x
  2. Step 2: Convert to fraction form
    19,045.13/20,457.56 = 20,457.56/x
  3. Step 3: Cross multiply
    19,045.13x = 20,457.56 × 20,457.56
  4. Step 4: Simplify right side
    19,045.13x = 418,511,863.44
  5. Step 5: Solve for x
    x = 418,511,863.44/19,045.13
  6. Step 6: Final answer
    x = 21,974.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.