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Finding the Third Proportional to 393,880 and 866,492

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Solution

The third proportional to 393,880 and 866,492 is: 1,906,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,880 : 866,492 = 866,492 : x
  2. Step 2: Convert to fraction form
    393,880/866,492 = 866,492/x
  3. Step 3: Cross multiply
    393,880x = 866,492 × 866,492
  4. Step 4: Simplify right side
    393,880x = 750,808,386,064
  5. Step 5: Solve for x
    x = 750,808,386,064/393,880
  6. Step 6: Final answer
    x = 1,906,185.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.