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Finding the Third Proportional to 135,384 and 312,028

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Solution

The third proportional to 135,384 and 312,028 is: 719,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,384 : 312,028 = 312,028 : x
  2. Step 2: Convert to fraction form
    135,384/312,028 = 312,028/x
  3. Step 3: Cross multiply
    135,384x = 312,028 × 312,028
  4. Step 4: Simplify right side
    135,384x = 97,361,472,784
  5. Step 5: Solve for x
    x = 97,361,472,784/135,384
  6. Step 6: Final answer
    x = 719,150.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.