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Finding the Third Proportional to 431,163 and 928,125

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Solution

The third proportional to 431,163 and 928,125 is: 1,997,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,163 : 928,125 = 928,125 : x
  2. Step 2: Convert to fraction form
    431,163/928,125 = 928,125/x
  3. Step 3: Cross multiply
    431,163x = 928,125 × 928,125
  4. Step 4: Simplify right side
    431,163x = 861,416,015,625
  5. Step 5: Solve for x
    x = 861,416,015,625/431,163
  6. Step 6: Final answer
    x = 1,997,889.47

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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.