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Finding the Third Proportional to 640,992 and 996,450

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Solution

The third proportional to 640,992 and 996,450 is: 1,549,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,992 : 996,450 = 996,450 : x
  2. Step 2: Convert to fraction form
    640,992/996,450 = 996,450/x
  3. Step 3: Cross multiply
    640,992x = 996,450 × 996,450
  4. Step 4: Simplify right side
    640,992x = 992,912,602,500
  5. Step 5: Solve for x
    x = 992,912,602,500/640,992
  6. Step 6: Final answer
    x = 1,549,024.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.