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Finding the Third Proportional to 382,448 and 831,232

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Solution

The third proportional to 382,448 and 831,232 is: 1,806,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,448 : 831,232 = 831,232 : x
  2. Step 2: Convert to fraction form
    382,448/831,232 = 831,232/x
  3. Step 3: Cross multiply
    382,448x = 831,232 × 831,232
  4. Step 4: Simplify right side
    382,448x = 690,946,637,824
  5. Step 5: Solve for x
    x = 690,946,637,824/382,448
  6. Step 6: Final answer
    x = 1,806,642.05

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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.