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Finding the Third Proportional to 448,138 and 672,693

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Solution

The third proportional to 448,138 and 672,693 is: 1,009,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,138 : 672,693 = 672,693 : x
  2. Step 2: Convert to fraction form
    448,138/672,693 = 672,693/x
  3. Step 3: Cross multiply
    448,138x = 672,693 × 672,693
  4. Step 4: Simplify right side
    448,138x = 452,515,872,249
  5. Step 5: Solve for x
    x = 452,515,872,249/448,138
  6. Step 6: Final answer
    x = 1,009,769.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.