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Finding the Third Proportional to 211,428 and 323,836

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Solution

The third proportional to 211,428 and 323,836 is: 496,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,428 : 323,836 = 323,836 : x
  2. Step 2: Convert to fraction form
    211,428/323,836 = 323,836/x
  3. Step 3: Cross multiply
    211,428x = 323,836 × 323,836
  4. Step 4: Simplify right side
    211,428x = 104,869,754,896
  5. Step 5: Solve for x
    x = 104,869,754,896/211,428
  6. Step 6: Final answer
    x = 496,006.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.