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Finding the Third Proportional to 191,738 and 415,208

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Solution

The third proportional to 191,738 and 415,208 is: 899,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,738 : 415,208 = 415,208 : x
  2. Step 2: Convert to fraction form
    191,738/415,208 = 415,208/x
  3. Step 3: Cross multiply
    191,738x = 415,208 × 415,208
  4. Step 4: Simplify right side
    191,738x = 172,397,683,264
  5. Step 5: Solve for x
    x = 172,397,683,264/191,738
  6. Step 6: Final answer
    x = 899,131.54

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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.