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Finding the Third Proportional to 138,364.88 and 208,514.25

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Solution

The third proportional to 138,364.88 and 208,514.25 is: 314,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,364.88 : 208,514.25 = 208,514.25 : x
  2. Step 2: Convert to fraction form
    138,364.88/208,514.25 = 208,514.25/x
  3. Step 3: Cross multiply
    138,364.88x = 208,514.25 × 208,514.25
  4. Step 4: Simplify right side
    138,364.88x = 43,478,192,453.06
  5. Step 5: Solve for x
    x = 43,478,192,453.06/138,364.88
  6. Step 6: Final answer
    x = 314,228.54

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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.