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Finding the Third Proportional to 382,786 and 831,918

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Solution

The third proportional to 382,786 and 831,918 is: 1,808,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,786 : 831,918 = 831,918 : x
  2. Step 2: Convert to fraction form
    382,786/831,918 = 831,918/x
  3. Step 3: Cross multiply
    382,786x = 831,918 × 831,918
  4. Step 4: Simplify right side
    382,786x = 692,087,558,724
  5. Step 5: Solve for x
    x = 692,087,558,724/382,786
  6. Step 6: Final answer
    x = 1,808,027.35

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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.