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Finding the Third Proportional to 172,000 and 364,814

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Solution

The third proportional to 172,000 and 364,814 is: 773,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,000 : 364,814 = 364,814 : x
  2. Step 2: Convert to fraction form
    172,000/364,814 = 364,814/x
  3. Step 3: Cross multiply
    172,000x = 364,814 × 364,814
  4. Step 4: Simplify right side
    172,000x = 133,089,254,596
  5. Step 5: Solve for x
    x = 133,089,254,596/172,000
  6. Step 6: Final answer
    x = 773,774.74

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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.