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Finding the Third Proportional to 402,912 and 847,296

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Solution

The third proportional to 402,912 and 847,296 is: 1,781,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,912 : 847,296 = 847,296 : x
  2. Step 2: Convert to fraction form
    402,912/847,296 = 847,296/x
  3. Step 3: Cross multiply
    402,912x = 847,296 × 847,296
  4. Step 4: Simplify right side
    402,912x = 717,910,511,616
  5. Step 5: Solve for x
    x = 717,910,511,616/402,912
  6. Step 6: Final answer
    x = 1,781,804.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.