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Finding the Third Proportional to 172,817 and 264,487

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Solution

The third proportional to 172,817 and 264,487 is: 404,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,817 : 264,487 = 264,487 : x
  2. Step 2: Convert to fraction form
    172,817/264,487 = 264,487/x
  3. Step 3: Cross multiply
    172,817x = 264,487 × 264,487
  4. Step 4: Simplify right side
    172,817x = 69,953,373,169
  5. Step 5: Solve for x
    x = 69,953,373,169/172,817
  6. Step 6: Final answer
    x = 404,782.94

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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.