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Finding the Third Proportional to 135,720.56 and 298,206.56

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Solution

The third proportional to 135,720.56 and 298,206.56 is: 655,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,720.56 : 298,206.56 = 298,206.56 : x
  2. Step 2: Convert to fraction form
    135,720.56/298,206.56 = 298,206.56/x
  3. Step 3: Cross multiply
    135,720.56x = 298,206.56 × 298,206.56
  4. Step 4: Simplify right side
    135,720.56x = 88,927,153,918.07
  5. Step 5: Solve for x
    x = 88,927,153,918.07/135,720.56
  6. Step 6: Final answer
    x = 655,222.41

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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.