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Finding the Third Proportional to 20,476.13 and 30,858.38

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Solution

The third proportional to 20,476.13 and 30,858.38 is: 46,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.13 : 30,858.38 = 30,858.38 : x
  2. Step 2: Convert to fraction form
    20,476.13/30,858.38 = 30,858.38/x
  3. Step 3: Cross multiply
    20,476.13x = 30,858.38 × 30,858.38
  4. Step 4: Simplify right side
    20,476.13x = 952,239,307.64
  5. Step 5: Solve for x
    x = 952,239,307.64/20,476.13
  6. Step 6: Final answer
    x = 46,504.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.