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Finding the Third Proportional to 423,876 and 920,652

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Solution

The third proportional to 423,876 and 920,652 is: 1,999,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,876 : 920,652 = 920,652 : x
  2. Step 2: Convert to fraction form
    423,876/920,652 = 920,652/x
  3. Step 3: Cross multiply
    423,876x = 920,652 × 920,652
  4. Step 4: Simplify right side
    423,876x = 847,600,105,104
  5. Step 5: Solve for x
    x = 847,600,105,104/423,876
  6. Step 6: Final answer
    x = 1,999,641.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.