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Finding the Third Proportional to 289,867 and 400,533

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Solution

The third proportional to 289,867 and 400,533 is: 553,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,867 : 400,533 = 400,533 : x
  2. Step 2: Convert to fraction form
    289,867/400,533 = 400,533/x
  3. Step 3: Cross multiply
    289,867x = 400,533 × 400,533
  4. Step 4: Simplify right side
    289,867x = 160,426,684,089
  5. Step 5: Solve for x
    x = 160,426,684,089/289,867
  6. Step 6: Final answer
    x = 553,449.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.