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Finding the Third Proportional to 138,294.56 and 301,722.19

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Solution

The third proportional to 138,294.56 and 301,722.19 is: 658,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294.56 : 301,722.19 = 301,722.19 : x
  2. Step 2: Convert to fraction form
    138,294.56/301,722.19 = 301,722.19/x
  3. Step 3: Cross multiply
    138,294.56x = 301,722.19 × 301,722.19
  4. Step 4: Simplify right side
    138,294.56x = 91,036,278,429.79
  5. Step 5: Solve for x
    x = 91,036,278,429.79/138,294.56
  6. Step 6: Final answer
    x = 658,278.08

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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.