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Finding the Third Proportional to 211,525 and 323,985

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Solution

The third proportional to 211,525 and 323,985 is: 496,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,525 : 323,985 = 323,985 : x
  2. Step 2: Convert to fraction form
    211,525/323,985 = 323,985/x
  3. Step 3: Cross multiply
    211,525x = 323,985 × 323,985
  4. Step 4: Simplify right side
    211,525x = 104,966,280,225
  5. Step 5: Solve for x
    x = 104,966,280,225/211,525
  6. Step 6: Final answer
    x = 496,235.81

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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.