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Finding the Third Proportional to 401,854 and 551,023

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Solution

The third proportional to 401,854 and 551,023 is: 755,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,854 : 551,023 = 551,023 : x
  2. Step 2: Convert to fraction form
    401,854/551,023 = 551,023/x
  3. Step 3: Cross multiply
    401,854x = 551,023 × 551,023
  4. Step 4: Simplify right side
    401,854x = 303,626,346,529
  5. Step 5: Solve for x
    x = 303,626,346,529/401,854
  6. Step 6: Final answer
    x = 755,563.83

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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.