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Finding the Third Proportional to 383,312 and 806,344

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Solution

The third proportional to 383,312 and 806,344 is: 1,696,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,312 : 806,344 = 806,344 : x
  2. Step 2: Convert to fraction form
    383,312/806,344 = 806,344/x
  3. Step 3: Cross multiply
    383,312x = 806,344 × 806,344
  4. Step 4: Simplify right side
    383,312x = 650,190,646,336
  5. Step 5: Solve for x
    x = 650,190,646,336/383,312
  6. Step 6: Final answer
    x = 1,696,243.91

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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.