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Finding the Third Proportional to 133,337.81 and 290,639.81

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Solution

The third proportional to 133,337.81 and 290,639.81 is: 633,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,337.81 : 290,639.81 = 290,639.81 : x
  2. Step 2: Convert to fraction form
    133,337.81/290,639.81 = 290,639.81/x
  3. Step 3: Cross multiply
    133,337.81x = 290,639.81 × 290,639.81
  4. Step 4: Simplify right side
    133,337.81x = 84,471,500,610.04
  5. Step 5: Solve for x
    x = 84,471,500,610.04/133,337.81
  6. Step 6: Final answer
    x = 633,514.97

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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.