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Finding the Third Proportional to 401,727 and 550,854

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Solution

The third proportional to 401,727 and 550,854 is: 755,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,727 : 550,854 = 550,854 : x
  2. Step 2: Convert to fraction form
    401,727/550,854 = 550,854/x
  3. Step 3: Cross multiply
    401,727x = 550,854 × 550,854
  4. Step 4: Simplify right side
    401,727x = 303,440,129,316
  5. Step 5: Solve for x
    x = 303,440,129,316/401,727
  6. Step 6: Final answer
    x = 755,339.15

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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.