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Finding the Third Proportional to 214,984 and 300,685

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Solution

The third proportional to 214,984 and 300,685 is: 420,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,984 : 300,685 = 300,685 : x
  2. Step 2: Convert to fraction form
    214,984/300,685 = 300,685/x
  3. Step 3: Cross multiply
    214,984x = 300,685 × 300,685
  4. Step 4: Simplify right side
    214,984x = 90,411,469,225
  5. Step 5: Solve for x
    x = 90,411,469,225/214,984
  6. Step 6: Final answer
    x = 420,549.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.