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Finding the Third Proportional to 133,148.81 and 288,456.19

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Solution

The third proportional to 133,148.81 and 288,456.19 is: 624,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,148.81 : 288,456.19 = 288,456.19 : x
  2. Step 2: Convert to fraction form
    133,148.81/288,456.19 = 288,456.19/x
  3. Step 3: Cross multiply
    133,148.81x = 288,456.19 × 288,456.19
  4. Step 4: Simplify right side
    133,148.81x = 83,206,972,107.04
  5. Step 5: Solve for x
    x = 83,206,972,107.04/133,148.81
  6. Step 6: Final answer
    x = 624,917.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.