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Finding the Third Proportional to 462,108 and 992,976

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Solution

The third proportional to 462,108 and 992,976 is: 2,133,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,108 : 992,976 = 992,976 : x
  2. Step 2: Convert to fraction form
    462,108/992,976 = 992,976/x
  3. Step 3: Cross multiply
    462,108x = 992,976 × 992,976
  4. Step 4: Simplify right side
    462,108x = 986,001,336,576
  5. Step 5: Solve for x
    x = 986,001,336,576/462,108
  6. Step 6: Final answer
    x = 2,133,703.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.