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Finding the Third Proportional to 54,419.98 and 84,056.48

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Solution

The third proportional to 54,419.98 and 84,056.48 is: 129,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419.98 : 84,056.48 = 84,056.48 : x
  2. Step 2: Convert to fraction form
    54,419.98/84,056.48 = 84,056.48/x
  3. Step 3: Cross multiply
    54,419.98x = 84,056.48 × 84,056.48
  4. Step 4: Simplify right side
    54,419.98x = 7,065,492,565.48
  5. Step 5: Solve for x
    x = 7,065,492,565.48/54,419.98
  6. Step 6: Final answer
    x = 129,832.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.