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Finding the Third Proportional to 138,319.50 and 301,774.50

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Solution

The third proportional to 138,319.50 and 301,774.50 is: 658,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,319.50 : 301,774.50 = 301,774.50 : x
  2. Step 2: Convert to fraction form
    138,319.50/301,774.50 = 301,774.50/x
  3. Step 3: Cross multiply
    138,319.50x = 301,774.50 × 301,774.50
  4. Step 4: Simplify right side
    138,319.50x = 91,067,848,850.25
  5. Step 5: Solve for x
    x = 91,067,848,850.25/138,319.50
  6. Step 6: Final answer
    x = 658,387.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.