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Finding the Third Proportional to 137,378 and 289,764

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Solution

The third proportional to 137,378 and 289,764 is: 611,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,378 : 289,764 = 289,764 : x
  2. Step 2: Convert to fraction form
    137,378/289,764 = 289,764/x
  3. Step 3: Cross multiply
    137,378x = 289,764 × 289,764
  4. Step 4: Simplify right side
    137,378x = 83,963,175,696
  5. Step 5: Solve for x
    x = 83,963,175,696/137,378
  6. Step 6: Final answer
    x = 611,183.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.