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Finding the Third Proportional to 153,608 and 336,743

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Solution

The third proportional to 153,608 and 336,743 is: 738,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,608 : 336,743 = 336,743 : x
  2. Step 2: Convert to fraction form
    153,608/336,743 = 336,743/x
  3. Step 3: Cross multiply
    153,608x = 336,743 × 336,743
  4. Step 4: Simplify right side
    153,608x = 113,395,848,049
  5. Step 5: Solve for x
    x = 113,395,848,049/153,608
  6. Step 6: Final answer
    x = 738,215.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.