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Finding the Third Proportional to 253,990 and 379,746

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Solution

The third proportional to 253,990 and 379,746 is: 567,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,990 : 379,746 = 379,746 : x
  2. Step 2: Convert to fraction form
    253,990/379,746 = 379,746/x
  3. Step 3: Cross multiply
    253,990x = 379,746 × 379,746
  4. Step 4: Simplify right side
    253,990x = 144,207,024,516
  5. Step 5: Solve for x
    x = 144,207,024,516/253,990
  6. Step 6: Final answer
    x = 567,766.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.