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Finding the Third Proportional to 66,948 and 138,816.75

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Solution

The third proportional to 66,948 and 138,816.75 is: 287,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,948 : 138,816.75 = 138,816.75 : x
  2. Step 2: Convert to fraction form
    66,948/138,816.75 = 138,816.75/x
  3. Step 3: Cross multiply
    66,948x = 138,816.75 × 138,816.75
  4. Step 4: Simplify right side
    66,948x = 19,270,090,080.56
  5. Step 5: Solve for x
    x = 19,270,090,080.56/66,948
  6. Step 6: Final answer
    x = 287,836.68

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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.