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Finding the Third Proportional to 448,914 and 629,909

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Solution

The third proportional to 448,914 and 629,909 is: 883,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,914 : 629,909 = 629,909 : x
  2. Step 2: Convert to fraction form
    448,914/629,909 = 629,909/x
  3. Step 3: Cross multiply
    448,914x = 629,909 × 629,909
  4. Step 4: Simplify right side
    448,914x = 396,785,348,281
  5. Step 5: Solve for x
    x = 396,785,348,281/448,914
  6. Step 6: Final answer
    x = 883,878.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.