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Finding the Third Proportional to 401,852 and 551,020

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Solution

The third proportional to 401,852 and 551,020 is: 755,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,852 : 551,020 = 551,020 : x
  2. Step 2: Convert to fraction form
    401,852/551,020 = 551,020/x
  3. Step 3: Cross multiply
    401,852x = 551,020 × 551,020
  4. Step 4: Simplify right side
    401,852x = 303,623,040,400
  5. Step 5: Solve for x
    x = 303,623,040,400/401,852
  6. Step 6: Final answer
    x = 755,559.36

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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.