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Finding the Third Proportional to 353,920 and 749,296

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Solution

The third proportional to 353,920 and 749,296 is: 1,586,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,920 : 749,296 = 749,296 : x
  2. Step 2: Convert to fraction form
    353,920/749,296 = 749,296/x
  3. Step 3: Cross multiply
    353,920x = 749,296 × 749,296
  4. Step 4: Simplify right side
    353,920x = 561,444,495,616
  5. Step 5: Solve for x
    x = 561,444,495,616/353,920
  6. Step 6: Final answer
    x = 1,586,359.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.