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Finding the Third Proportional to 274,320 and 411,480

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Solution

The third proportional to 274,320 and 411,480 is: 617,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,320 : 411,480 = 411,480 : x
  2. Step 2: Convert to fraction form
    274,320/411,480 = 411,480/x
  3. Step 3: Cross multiply
    274,320x = 411,480 × 411,480
  4. Step 4: Simplify right side
    274,320x = 169,315,790,400
  5. Step 5: Solve for x
    x = 169,315,790,400/274,320
  6. Step 6: Final answer
    x = 617,220

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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.