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Finding the Third Proportional to 172,632 and 264,963

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Solution

The third proportional to 172,632 and 264,963 is: 406,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,632 : 264,963 = 264,963 : x
  2. Step 2: Convert to fraction form
    172,632/264,963 = 264,963/x
  3. Step 3: Cross multiply
    172,632x = 264,963 × 264,963
  4. Step 4: Simplify right side
    172,632x = 70,205,391,369
  5. Step 5: Solve for x
    x = 70,205,391,369/172,632
  6. Step 6: Final answer
    x = 406,676.58

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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.