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Finding the Third Proportional to 284,214 and 437,987

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Solution

The third proportional to 284,214 and 437,987 is: 674,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,214 : 437,987 = 437,987 : x
  2. Step 2: Convert to fraction form
    284,214/437,987 = 437,987/x
  3. Step 3: Cross multiply
    284,214x = 437,987 × 437,987
  4. Step 4: Simplify right side
    284,214x = 191,832,612,169
  5. Step 5: Solve for x
    x = 191,832,612,169/284,214
  6. Step 6: Final answer
    x = 674,958.35

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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.