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Finding the Third Proportional to 402,252 and 884,856

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Solution

The third proportional to 402,252 and 884,856 is: 1,946,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,252 : 884,856 = 884,856 : x
  2. Step 2: Convert to fraction form
    402,252/884,856 = 884,856/x
  3. Step 3: Cross multiply
    402,252x = 884,856 × 884,856
  4. Step 4: Simplify right side
    402,252x = 782,970,140,736
  5. Step 5: Solve for x
    x = 782,970,140,736/402,252
  6. Step 6: Final answer
    x = 1,946,466.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.