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Finding the Third Proportional to 213,968 and 331,136

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Solution

The third proportional to 213,968 and 331,136 is: 512,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,968 : 331,136 = 331,136 : x
  2. Step 2: Convert to fraction form
    213,968/331,136 = 331,136/x
  3. Step 3: Cross multiply
    213,968x = 331,136 × 331,136
  4. Step 4: Simplify right side
    213,968x = 109,651,050,496
  5. Step 5: Solve for x
    x = 109,651,050,496/213,968
  6. Step 6: Final answer
    x = 512,464.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.