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Finding the Third Proportional to 133,290.56 and 296,105.63

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Solution

The third proportional to 133,290.56 and 296,105.63 is: 657,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,290.56 : 296,105.63 = 296,105.63 : x
  2. Step 2: Convert to fraction form
    133,290.56/296,105.63 = 296,105.63/x
  3. Step 3: Cross multiply
    133,290.56x = 296,105.63 × 296,105.63
  4. Step 4: Simplify right side
    133,290.56x = 87,678,541,156.64
  5. Step 5: Solve for x
    x = 87,678,541,156.64/133,290.56
  6. Step 6: Final answer
    x = 657,800.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.