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Finding the Third Proportional to 382,633.88 and 831,697.88

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Solution

The third proportional to 382,633.88 and 831,697.88 is: 1,807,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,633.88 : 831,697.88 = 831,697.88 : x
  2. Step 2: Convert to fraction form
    382,633.88/831,697.88 = 831,697.88/x
  3. Step 3: Cross multiply
    382,633.88x = 831,697.88 × 831,697.88
  4. Step 4: Simplify right side
    382,633.88x = 691,721,355,279.52
  5. Step 5: Solve for x
    x = 691,721,355,279.52/382,633.88
  6. Step 6: Final answer
    x = 1,807,789.12

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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.