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Finding the Third Proportional to 499,474 and 765,880

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Solution

The third proportional to 499,474 and 765,880 is: 1,174,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,474 : 765,880 = 765,880 : x
  2. Step 2: Convert to fraction form
    499,474/765,880 = 765,880/x
  3. Step 3: Cross multiply
    499,474x = 765,880 × 765,880
  4. Step 4: Simplify right side
    499,474x = 586,572,174,400
  5. Step 5: Solve for x
    x = 586,572,174,400/499,474
  6. Step 6: Final answer
    x = 1,174,379.80

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