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Finding the Third Proportional to 54,439 and 85,547.25

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Solution

The third proportional to 54,439 and 85,547.25 is: 134,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,439 : 85,547.25 = 85,547.25 : x
  2. Step 2: Convert to fraction form
    54,439/85,547.25 = 85,547.25/x
  3. Step 3: Cross multiply
    54,439x = 85,547.25 × 85,547.25
  4. Step 4: Simplify right side
    54,439x = 7,318,331,982.56
  5. Step 5: Solve for x
    x = 7,318,331,982.56/54,439
  6. Step 6: Final answer
    x = 134,431.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.