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Finding the Third Proportional to 373,999.50 and 811,407

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Solution

The third proportional to 373,999.50 and 811,407 is: 1,760,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,999.50 : 811,407 = 811,407 : x
  2. Step 2: Convert to fraction form
    373,999.50/811,407 = 811,407/x
  3. Step 3: Cross multiply
    373,999.50x = 811,407 × 811,407
  4. Step 4: Simplify right side
    373,999.50x = 658,381,319,649
  5. Step 5: Solve for x
    x = 658,381,319,649/373,999.50
  6. Step 6: Final answer
    x = 1,760,380.21

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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.