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Finding the Third Proportional to 488,288 and 746,505

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Solution

The third proportional to 488,288 and 746,505 is: 1,141,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,288 : 746,505 = 746,505 : x
  2. Step 2: Convert to fraction form
    488,288/746,505 = 746,505/x
  3. Step 3: Cross multiply
    488,288x = 746,505 × 746,505
  4. Step 4: Simplify right side
    488,288x = 557,269,715,025
  5. Step 5: Solve for x
    x = 557,269,715,025/488,288
  6. Step 6: Final answer
    x = 1,141,272.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.