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Finding the Third Proportional to 136,578 and 298,062

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Solution

The third proportional to 136,578 and 298,062 is: 650,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,578 : 298,062 = 298,062 : x
  2. Step 2: Convert to fraction form
    136,578/298,062 = 298,062/x
  3. Step 3: Cross multiply
    136,578x = 298,062 × 298,062
  4. Step 4: Simplify right side
    136,578x = 88,840,955,844
  5. Step 5: Solve for x
    x = 88,840,955,844/136,578
  6. Step 6: Final answer
    x = 650,477.79

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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.