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Finding the Third Proportional to 678,120 and 992,838

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Solution

The third proportional to 678,120 and 992,838 is: 1,453,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,120 : 992,838 = 992,838 : x
  2. Step 2: Convert to fraction form
    678,120/992,838 = 992,838/x
  3. Step 3: Cross multiply
    678,120x = 992,838 × 992,838
  4. Step 4: Simplify right side
    678,120x = 985,727,294,244
  5. Step 5: Solve for x
    x = 985,727,294,244/678,120
  6. Step 6: Final answer
    x = 1,453,617.79

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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.