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Finding the Third Proportional to 382,218.75 and 831,691.13

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Solution

The third proportional to 382,218.75 and 831,691.13 is: 1,809,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,218.75 : 831,691.13 = 831,691.13 : x
  2. Step 2: Convert to fraction form
    382,218.75/831,691.13 = 831,691.13/x
  3. Step 3: Cross multiply
    382,218.75x = 831,691.13 × 831,691.13
  4. Step 4: Simplify right side
    382,218.75x = 691,710,127,403.77
  5. Step 5: Solve for x
    x = 691,710,127,403.77/382,218.75
  6. Step 6: Final answer
    x = 1,809,723.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.