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Finding the Third Proportional to 126,618 and 295,809

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Solution

The third proportional to 126,618 and 295,809 is: 691,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,618 : 295,809 = 295,809 : x
  2. Step 2: Convert to fraction form
    126,618/295,809 = 295,809/x
  3. Step 3: Cross multiply
    126,618x = 295,809 × 295,809
  4. Step 4: Simplify right side
    126,618x = 87,502,964,481
  5. Step 5: Solve for x
    x = 87,502,964,481/126,618
  6. Step 6: Final answer
    x = 691,078.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.