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Finding the Third Proportional to 399,496 and 858,284

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Solution

The third proportional to 399,496 and 858,284 is: 1,843,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,496 : 858,284 = 858,284 : x
  2. Step 2: Convert to fraction form
    399,496/858,284 = 858,284/x
  3. Step 3: Cross multiply
    399,496x = 858,284 × 858,284
  4. Step 4: Simplify right side
    399,496x = 736,651,424,656
  5. Step 5: Solve for x
    x = 736,651,424,656/399,496
  6. Step 6: Final answer
    x = 1,843,951.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.