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Finding the Third Proportional to 136,638 and 300,178.13

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Solution

The third proportional to 136,638 and 300,178.13 is: 659,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638 : 300,178.13 = 300,178.13 : x
  2. Step 2: Convert to fraction form
    136,638/300,178.13 = 300,178.13/x
  3. Step 3: Cross multiply
    136,638x = 300,178.13 × 300,178.13
  4. Step 4: Simplify right side
    136,638x = 90,106,906,728.52
  5. Step 5: Solve for x
    x = 90,106,906,728.52/136,638
  6. Step 6: Final answer
    x = 659,457.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.