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Finding the Third Proportional to 211,254 and 287,721

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Solution

The third proportional to 211,254 and 287,721 is: 391,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,254 : 287,721 = 287,721 : x
  2. Step 2: Convert to fraction form
    211,254/287,721 = 287,721/x
  3. Step 3: Cross multiply
    211,254x = 287,721 × 287,721
  4. Step 4: Simplify right side
    211,254x = 82,783,373,841
  5. Step 5: Solve for x
    x = 82,783,373,841/211,254
  6. Step 6: Final answer
    x = 391,866.54

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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.