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Finding the Third Proportional to 678,048 and 996,048

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Solution

The third proportional to 678,048 and 996,048 is: 1,463,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,048 : 996,048 = 996,048 : x
  2. Step 2: Convert to fraction form
    678,048/996,048 = 996,048/x
  3. Step 3: Cross multiply
    678,048x = 996,048 × 996,048
  4. Step 4: Simplify right side
    678,048x = 992,111,618,304
  5. Step 5: Solve for x
    x = 992,111,618,304/678,048
  6. Step 6: Final answer
    x = 1,463,187.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.