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Finding the Third Proportional to 137,976 and 302,448

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Solution

The third proportional to 137,976 and 302,448 is: 662,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976 : 302,448 = 302,448 : x
  2. Step 2: Convert to fraction form
    137,976/302,448 = 302,448/x
  3. Step 3: Cross multiply
    137,976x = 302,448 × 302,448
  4. Step 4: Simplify right side
    137,976x = 91,474,792,704
  5. Step 5: Solve for x
    x = 91,474,792,704/137,976
  6. Step 6: Final answer
    x = 662,976.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.