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Finding the Third Proportional to 449,769 and 643,175

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Solution

The third proportional to 449,769 and 643,175 is: 919,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,769 : 643,175 = 643,175 : x
  2. Step 2: Convert to fraction form
    449,769/643,175 = 643,175/x
  3. Step 3: Cross multiply
    449,769x = 643,175 × 643,175
  4. Step 4: Simplify right side
    449,769x = 413,674,080,625
  5. Step 5: Solve for x
    x = 413,674,080,625/449,769
  6. Step 6: Final answer
    x = 919,747.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.