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Finding the Third Proportional to 135,423.56 and 288,342.56

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Solution

The third proportional to 135,423.56 and 288,342.56 is: 613,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,423.56 : 288,342.56 = 288,342.56 : x
  2. Step 2: Convert to fraction form
    135,423.56/288,342.56 = 288,342.56/x
  3. Step 3: Cross multiply
    135,423.56x = 288,342.56 × 288,342.56
  4. Step 4: Simplify right side
    135,423.56x = 83,141,433,349.07
  5. Step 5: Solve for x
    x = 83,141,433,349.07/135,423.56
  6. Step 6: Final answer
    x = 613,936.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.