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Finding the Third Proportional to 284,216 and 437,990

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Solution

The third proportional to 284,216 and 437,990 is: 674,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,216 : 437,990 = 437,990 : x
  2. Step 2: Convert to fraction form
    284,216/437,990 = 437,990/x
  3. Step 3: Cross multiply
    284,216x = 437,990 × 437,990
  4. Step 4: Simplify right side
    284,216x = 191,835,240,100
  5. Step 5: Solve for x
    x = 191,835,240,100/284,216
  6. Step 6: Final answer
    x = 674,962.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.