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Finding the Third Proportional to 384,996 and 858,429

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Solution

The third proportional to 384,996 and 858,429 is: 1,914,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,996 : 858,429 = 858,429 : x
  2. Step 2: Convert to fraction form
    384,996/858,429 = 858,429/x
  3. Step 3: Cross multiply
    384,996x = 858,429 × 858,429
  4. Step 4: Simplify right side
    384,996x = 736,900,348,041
  5. Step 5: Solve for x
    x = 736,900,348,041/384,996
  6. Step 6: Final answer
    x = 1,914,046.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.