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Finding the Third Proportional to 153,781 and 332,833

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Solution

The third proportional to 153,781 and 332,833 is: 720,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,781 : 332,833 = 332,833 : x
  2. Step 2: Convert to fraction form
    153,781/332,833 = 332,833/x
  3. Step 3: Cross multiply
    153,781x = 332,833 × 332,833
  4. Step 4: Simplify right side
    153,781x = 110,777,805,889
  5. Step 5: Solve for x
    x = 110,777,805,889/153,781
  6. Step 6: Final answer
    x = 720,360.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.