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Finding the Third Proportional to 336,880 and 492,753

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Solution

The third proportional to 336,880 and 492,753 is: 720,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,880 : 492,753 = 492,753 : x
  2. Step 2: Convert to fraction form
    336,880/492,753 = 492,753/x
  3. Step 3: Cross multiply
    336,880x = 492,753 × 492,753
  4. Step 4: Simplify right side
    336,880x = 242,805,519,009
  5. Step 5: Solve for x
    x = 242,805,519,009/336,880
  6. Step 6: Final answer
    x = 720,747.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.