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Finding the Third Proportional to 138,296.25 and 301,619.25

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Solution

The third proportional to 138,296.25 and 301,619.25 is: 657,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,296.25 : 301,619.25 = 301,619.25 : x
  2. Step 2: Convert to fraction form
    138,296.25/301,619.25 = 301,619.25/x
  3. Step 3: Cross multiply
    138,296.25x = 301,619.25 × 301,619.25
  4. Step 4: Simplify right side
    138,296.25x = 90,974,171,970.56
  5. Step 5: Solve for x
    x = 90,974,171,970.56/138,296.25
  6. Step 6: Final answer
    x = 657,820.96

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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.