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Finding the Third Proportional to 211,280 and 289,701

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Solution

The third proportional to 211,280 and 289,701 is: 397,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,280 : 289,701 = 289,701 : x
  2. Step 2: Convert to fraction form
    211,280/289,701 = 289,701/x
  3. Step 3: Cross multiply
    211,280x = 289,701 × 289,701
  4. Step 4: Simplify right side
    211,280x = 83,926,669,401
  5. Step 5: Solve for x
    x = 83,926,669,401/211,280
  6. Step 6: Final answer
    x = 397,229.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.