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Finding the Third Proportional to 42,126.33 and 63,628.03

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Solution

The third proportional to 42,126.33 and 63,628.03 is: 96,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,126.33 : 63,628.03 = 63,628.03 : x
  2. Step 2: Convert to fraction form
    42,126.33/63,628.03 = 63,628.03/x
  3. Step 3: Cross multiply
    42,126.33x = 63,628.03 × 63,628.03
  4. Step 4: Simplify right side
    42,126.33x = 4,048,526,360.75
  5. Step 5: Solve for x
    x = 4,048,526,360.75/42,126.33
  6. Step 6: Final answer
    x = 96,104.42

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