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Finding the Third Proportional to 138,808.50 and 288,119

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Solution

The third proportional to 138,808.50 and 288,119 is: 598,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,808.50 : 288,119 = 288,119 : x
  2. Step 2: Convert to fraction form
    138,808.50/288,119 = 288,119/x
  3. Step 3: Cross multiply
    138,808.50x = 288,119 × 288,119
  4. Step 4: Simplify right side
    138,808.50x = 83,012,558,161
  5. Step 5: Solve for x
    x = 83,012,558,161/138,808.50
  6. Step 6: Final answer
    x = 598,036.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.