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Finding the Third Proportional to 172,513 and 264,328

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Solution

The third proportional to 172,513 and 264,328 is: 405,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,513 : 264,328 = 264,328 : x
  2. Step 2: Convert to fraction form
    172,513/264,328 = 264,328/x
  3. Step 3: Cross multiply
    172,513x = 264,328 × 264,328
  4. Step 4: Simplify right side
    172,513x = 69,869,291,584
  5. Step 5: Solve for x
    x = 69,869,291,584/172,513
  6. Step 6: Final answer
    x = 405,008.85

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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.