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Finding the Third Proportional to 172,349 and 364,567

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Solution

The third proportional to 172,349 and 364,567 is: 771,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,349 : 364,567 = 364,567 : x
  2. Step 2: Convert to fraction form
    172,349/364,567 = 364,567/x
  3. Step 3: Cross multiply
    172,349x = 364,567 × 364,567
  4. Step 4: Simplify right side
    172,349x = 132,909,097,489
  5. Step 5: Solve for x
    x = 132,909,097,489/172,349
  6. Step 6: Final answer
    x = 771,162.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.