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Finding the Third Proportional to 79,994 and 172,817

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Solution

The third proportional to 79,994 and 172,817 is: 373,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,994 : 172,817 = 172,817 : x
  2. Step 2: Convert to fraction form
    79,994/172,817 = 172,817/x
  3. Step 3: Cross multiply
    79,994x = 172,817 × 172,817
  4. Step 4: Simplify right side
    79,994x = 29,865,715,489
  5. Step 5: Solve for x
    x = 29,865,715,489/79,994
  6. Step 6: Final answer
    x = 373,349.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.