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Finding the Third Proportional to 410,880 and 617,289

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Solution

The third proportional to 410,880 and 617,289 is: 927,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,880 : 617,289 = 617,289 : x
  2. Step 2: Convert to fraction form
    410,880/617,289 = 617,289/x
  3. Step 3: Cross multiply
    410,880x = 617,289 × 617,289
  4. Step 4: Simplify right side
    410,880x = 381,045,709,521
  5. Step 5: Solve for x
    x = 381,045,709,521/410,880
  6. Step 6: Final answer
    x = 927,389.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.