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Finding the Third Proportional to 211,312 and 287,802

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Solution

The third proportional to 211,312 and 287,802 is: 391,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312 : 287,802 = 287,802 : x
  2. Step 2: Convert to fraction form
    211,312/287,802 = 287,802/x
  3. Step 3: Cross multiply
    211,312x = 287,802 × 287,802
  4. Step 4: Simplify right side
    211,312x = 82,829,991,204
  5. Step 5: Solve for x
    x = 82,829,991,204/211,312
  6. Step 6: Final answer
    x = 391,979.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.