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Finding the Third Proportional to 9,132.75 and 19,647.56

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Solution

The third proportional to 9,132.75 and 19,647.56 is: 42,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.75 : 19,647.56 = 19,647.56 : x
  2. Step 2: Convert to fraction form
    9,132.75/19,647.56 = 19,647.56/x
  3. Step 3: Cross multiply
    9,132.75x = 19,647.56 × 19,647.56
  4. Step 4: Simplify right side
    9,132.75x = 386,026,712.19
  5. Step 5: Solve for x
    x = 386,026,712.19/9,132.75
  6. Step 6: Final answer
    x = 42,268.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.