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Finding the Third Proportional to 213,728 and 459,612

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Solution

The third proportional to 213,728 and 459,612 is: 988,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,728 : 459,612 = 459,612 : x
  2. Step 2: Convert to fraction form
    213,728/459,612 = 459,612/x
  3. Step 3: Cross multiply
    213,728x = 459,612 × 459,612
  4. Step 4: Simplify right side
    213,728x = 211,243,190,544
  5. Step 5: Solve for x
    x = 211,243,190,544/213,728
  6. Step 6: Final answer
    x = 988,373.96

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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.