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Finding the Third Proportional to 54,480 and 75,019.50

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Solution

The third proportional to 54,480 and 75,019.50 is: 103,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,480 : 75,019.50 = 75,019.50 : x
  2. Step 2: Convert to fraction form
    54,480/75,019.50 = 75,019.50/x
  3. Step 3: Cross multiply
    54,480x = 75,019.50 × 75,019.50
  4. Step 4: Simplify right side
    54,480x = 5,627,925,380.25
  5. Step 5: Solve for x
    x = 5,627,925,380.25/54,480
  6. Step 6: Final answer
    x = 103,302.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.