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Finding the Third Proportional to 284,234.50 and 611,480

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Solution

The third proportional to 284,234.50 and 611,480 is: 1,315,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,234.50 : 611,480 = 611,480 : x
  2. Step 2: Convert to fraction form
    284,234.50/611,480 = 611,480/x
  3. Step 3: Cross multiply
    284,234.50x = 611,480 × 611,480
  4. Step 4: Simplify right side
    284,234.50x = 373,907,790,400
  5. Step 5: Solve for x
    x = 373,907,790,400/284,234.50
  6. Step 6: Final answer
    x = 1,315,490.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.