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Finding the Third Proportional to 153,763 and 332,797.75

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Solution

The third proportional to 153,763 and 332,797.75 is: 720,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,763 : 332,797.75 = 332,797.75 : x
  2. Step 2: Convert to fraction form
    153,763/332,797.75 = 332,797.75/x
  3. Step 3: Cross multiply
    153,763x = 332,797.75 × 332,797.75
  4. Step 4: Simplify right side
    153,763x = 110,754,342,405.06
  5. Step 5: Solve for x
    x = 110,754,342,405.06/153,763
  6. Step 6: Final answer
    x = 720,292.54

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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.