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Finding the Third Proportional to 136,638.75 and 300,179.63

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Solution

The third proportional to 136,638.75 and 300,179.63 is: 659,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638.75 : 300,179.63 = 300,179.63 : x
  2. Step 2: Convert to fraction form
    136,638.75/300,179.63 = 300,179.63/x
  3. Step 3: Cross multiply
    136,638.75x = 300,179.63 × 300,179.63
  4. Step 4: Simplify right side
    136,638.75x = 90,107,807,265.14
  5. Step 5: Solve for x
    x = 90,107,807,265.14/136,638.75
  6. Step 6: Final answer
    x = 659,460.13

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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.