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Finding the Third Proportional to 153,135 and 245,845

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Solution

The third proportional to 153,135 and 245,845 is: 394,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,135 : 245,845 = 245,845 : x
  2. Step 2: Convert to fraction form
    153,135/245,845 = 245,845/x
  3. Step 3: Cross multiply
    153,135x = 245,845 × 245,845
  4. Step 4: Simplify right side
    153,135x = 60,439,764,025
  5. Step 5: Solve for x
    x = 60,439,764,025/153,135
  6. Step 6: Final answer
    x = 394,682.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.