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Finding the Third Proportional to 54,675 and 69,862.50

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Solution

The third proportional to 54,675 and 69,862.50 is: 89,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,675 : 69,862.50 = 69,862.50 : x
  2. Step 2: Convert to fraction form
    54,675/69,862.50 = 69,862.50/x
  3. Step 3: Cross multiply
    54,675x = 69,862.50 × 69,862.50
  4. Step 4: Simplify right side
    54,675x = 4,880,768,906.25
  5. Step 5: Solve for x
    x = 4,880,768,906.25/54,675
  6. Step 6: Final answer
    x = 89,268.75

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.