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Finding the Third Proportional to 66,703.50 and 137,598.75

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Solution

The third proportional to 66,703.50 and 137,598.75 is: 283,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,703.50 : 137,598.75 = 137,598.75 : x
  2. Step 2: Convert to fraction form
    66,703.50/137,598.75 = 137,598.75/x
  3. Step 3: Cross multiply
    66,703.50x = 137,598.75 × 137,598.75
  4. Step 4: Simplify right side
    66,703.50x = 18,933,416,001.56
  5. Step 5: Solve for x
    x = 18,933,416,001.56/66,703.50
  6. Step 6: Final answer
    x = 283,844.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.