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Finding the Third Proportional to 383,416 and 806,492

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Solution

The third proportional to 383,416 and 806,492 is: 1,696,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,416 : 806,492 = 806,492 : x
  2. Step 2: Convert to fraction form
    383,416/806,492 = 806,492/x
  3. Step 3: Cross multiply
    383,416x = 806,492 × 806,492
  4. Step 4: Simplify right side
    383,416x = 650,429,346,064
  5. Step 5: Solve for x
    x = 650,429,346,064/383,416
  6. Step 6: Final answer
    x = 1,696,406.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.