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Finding the Third Proportional to 126,855 and 300,530.25

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Solution

The third proportional to 126,855 and 300,530.25 is: 711,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,855 : 300,530.25 = 300,530.25 : x
  2. Step 2: Convert to fraction form
    126,855/300,530.25 = 300,530.25/x
  3. Step 3: Cross multiply
    126,855x = 300,530.25 × 300,530.25
  4. Step 4: Simplify right side
    126,855x = 90,318,431,165.06
  5. Step 5: Solve for x
    x = 90,318,431,165.06/126,855
  6. Step 6: Final answer
    x = 711,981.64

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.