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Finding the Third Proportional to 399,585 and 850,023

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Solution

The third proportional to 399,585 and 850,023 is: 1,808,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,585 : 850,023 = 850,023 : x
  2. Step 2: Convert to fraction form
    399,585/850,023 = 850,023/x
  3. Step 3: Cross multiply
    399,585x = 850,023 × 850,023
  4. Step 4: Simplify right side
    399,585x = 722,539,100,529
  5. Step 5: Solve for x
    x = 722,539,100,529/399,585
  6. Step 6: Final answer
    x = 1,808,223.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.