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Finding the Third Proportional to 172,613 and 264,935

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Solution

The third proportional to 172,613 and 264,935 is: 406,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,613 : 264,935 = 264,935 : x
  2. Step 2: Convert to fraction form
    172,613/264,935 = 264,935/x
  3. Step 3: Cross multiply
    172,613x = 264,935 × 264,935
  4. Step 4: Simplify right side
    172,613x = 70,190,554,225
  5. Step 5: Solve for x
    x = 70,190,554,225/172,613
  6. Step 6: Final answer
    x = 406,635.39

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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.