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Finding the Third Proportional to 191,728 and 415,188

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Solution

The third proportional to 191,728 and 415,188 is: 899,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728 : 415,188 = 415,188 : x
  2. Step 2: Convert to fraction form
    191,728/415,188 = 415,188/x
  3. Step 3: Cross multiply
    191,728x = 415,188 × 415,188
  4. Step 4: Simplify right side
    191,728x = 172,381,075,344
  5. Step 5: Solve for x
    x = 172,381,075,344/191,728
  6. Step 6: Final answer
    x = 899,091.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.