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Finding the Third Proportional to 9,120 and 19,954.50

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Solution

The third proportional to 9,120 and 19,954.50 is: 43,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120 : 19,954.50 = 19,954.50 : x
  2. Step 2: Convert to fraction form
    9,120/19,954.50 = 19,954.50/x
  3. Step 3: Cross multiply
    9,120x = 19,954.50 × 19,954.50
  4. Step 4: Simplify right side
    9,120x = 398,182,070.25
  5. Step 5: Solve for x
    x = 398,182,070.25/9,120
  6. Step 6: Final answer
    x = 43,660.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.