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Finding the Third Proportional to 289,872 and 400,537.50

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Solution

The third proportional to 289,872 and 400,537.50 is: 553,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,872 : 400,537.50 = 400,537.50 : x
  2. Step 2: Convert to fraction form
    289,872/400,537.50 = 400,537.50/x
  3. Step 3: Cross multiply
    289,872x = 400,537.50 × 400,537.50
  4. Step 4: Simplify right side
    289,872x = 160,430,288,906.25
  5. Step 5: Solve for x
    x = 160,430,288,906.25/289,872
  6. Step 6: Final answer
    x = 553,452.18

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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.