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Finding the Third Proportional to 289,890 and 400,563

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Solution

The third proportional to 289,890 and 400,563 is: 553,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,890 : 400,563 = 400,563 : x
  2. Step 2: Convert to fraction form
    289,890/400,563 = 400,563/x
  3. Step 3: Cross multiply
    289,890x = 400,563 × 400,563
  4. Step 4: Simplify right side
    289,890x = 160,450,716,969
  5. Step 5: Solve for x
    x = 160,450,716,969/289,890
  6. Step 6: Final answer
    x = 553,488.28

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