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Finding the Third Proportional to 67,266.75 and 138,908.25

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Solution

The third proportional to 67,266.75 and 138,908.25 is: 286,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,266.75 : 138,908.25 = 138,908.25 : x
  2. Step 2: Convert to fraction form
    67,266.75/138,908.25 = 138,908.25/x
  3. Step 3: Cross multiply
    67,266.75x = 138,908.25 × 138,908.25
  4. Step 4: Simplify right side
    67,266.75x = 19,295,501,918.06
  5. Step 5: Solve for x
    x = 19,295,501,918.06/67,266.75
  6. Step 6: Final answer
    x = 286,850.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.