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Finding the Third Proportional to 54,111 and 83,218.50

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Solution

The third proportional to 54,111 and 83,218.50 is: 127,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,111 : 83,218.50 = 83,218.50 : x
  2. Step 2: Convert to fraction form
    54,111/83,218.50 = 83,218.50/x
  3. Step 3: Cross multiply
    54,111x = 83,218.50 × 83,218.50
  4. Step 4: Simplify right side
    54,111x = 6,925,318,742.25
  5. Step 5: Solve for x
    x = 6,925,318,742.25/54,111
  6. Step 6: Final answer
    x = 127,983.57

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Why These Related Problems?

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