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Finding the Third Proportional to 138,221.44 and 208,304.16

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Solution

The third proportional to 138,221.44 and 208,304.16 is: 313,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,221.44 : 208,304.16 = 208,304.16 : x
  2. Step 2: Convert to fraction form
    138,221.44/208,304.16 = 208,304.16/x
  3. Step 3: Cross multiply
    138,221.44x = 208,304.16 × 208,304.16
  4. Step 4: Simplify right side
    138,221.44x = 43,390,621,511.02
  5. Step 5: Solve for x
    x = 43,390,621,511.02/138,221.44
  6. Step 6: Final answer
    x = 313,921.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.