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Finding the Third Proportional to 188,407 and 409,538

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Solution

The third proportional to 188,407 and 409,538 is: 890,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,407 : 409,538 = 409,538 : x
  2. Step 2: Convert to fraction form
    188,407/409,538 = 409,538/x
  3. Step 3: Cross multiply
    188,407x = 409,538 × 409,538
  4. Step 4: Simplify right side
    188,407x = 167,721,373,444
  5. Step 5: Solve for x
    x = 167,721,373,444/188,407
  6. Step 6: Final answer
    x = 890,207.76

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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.