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Finding the Third Proportional to 387,256 and 623,876

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Solution

The third proportional to 387,256 and 623,876 is: 1,005,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,256 : 623,876 = 623,876 : x
  2. Step 2: Convert to fraction form
    387,256/623,876 = 623,876/x
  3. Step 3: Cross multiply
    387,256x = 623,876 × 623,876
  4. Step 4: Simplify right side
    387,256x = 389,221,263,376
  5. Step 5: Solve for x
    x = 389,221,263,376/387,256
  6. Step 6: Final answer
    x = 1,005,074.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.