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Finding the Third Proportional to 678,186 and 992,979

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Solution

The third proportional to 678,186 and 992,979 is: 1,453,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,186 : 992,979 = 992,979 : x
  2. Step 2: Convert to fraction form
    678,186/992,979 = 992,979/x
  3. Step 3: Cross multiply
    678,186x = 992,979 × 992,979
  4. Step 4: Simplify right side
    678,186x = 986,007,294,441
  5. Step 5: Solve for x
    x = 986,007,294,441/678,186
  6. Step 6: Final answer
    x = 1,453,889.19

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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.