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Finding the Third Proportional to 136,172.25 and 299,220.75

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Solution

The third proportional to 136,172.25 and 299,220.75 is: 657,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,172.25 : 299,220.75 = 299,220.75 : x
  2. Step 2: Convert to fraction form
    136,172.25/299,220.75 = 299,220.75/x
  3. Step 3: Cross multiply
    136,172.25x = 299,220.75 × 299,220.75
  4. Step 4: Simplify right side
    136,172.25x = 89,533,057,230.56
  5. Step 5: Solve for x
    x = 89,533,057,230.56/136,172.25
  6. Step 6: Final answer
    x = 657,498.55

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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.