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Finding the Third Proportional to 449,550 and 667,490.63

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Solution

The third proportional to 449,550 and 667,490.63 is: 991,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,550 : 667,490.63 = 667,490.63 : x
  2. Step 2: Convert to fraction form
    449,550/667,490.63 = 667,490.63/x
  3. Step 3: Cross multiply
    449,550x = 667,490.63 × 667,490.63
  4. Step 4: Simplify right side
    449,550x = 445,543,734,462.89
  5. Step 5: Solve for x
    x = 445,543,734,462.89/449,550
  6. Step 6: Final answer
    x = 991,088.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.