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Finding the Third Proportional to 401,446 and 550,484

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Solution

The third proportional to 401,446 and 550,484 is: 754,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,446 : 550,484 = 550,484 : x
  2. Step 2: Convert to fraction form
    401,446/550,484 = 550,484/x
  3. Step 3: Cross multiply
    401,446x = 550,484 × 550,484
  4. Step 4: Simplify right side
    401,446x = 303,032,634,256
  5. Step 5: Solve for x
    x = 303,032,634,256/401,446
  6. Step 6: Final answer
    x = 754,852.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.