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Finding the Third Proportional to 421,276 and 927,944

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Solution

The third proportional to 421,276 and 927,944 is: 2,043,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,276 : 927,944 = 927,944 : x
  2. Step 2: Convert to fraction form
    421,276/927,944 = 927,944/x
  3. Step 3: Cross multiply
    421,276x = 927,944 × 927,944
  4. Step 4: Simplify right side
    421,276x = 861,080,067,136
  5. Step 5: Solve for x
    x = 861,080,067,136/421,276
  6. Step 6: Final answer
    x = 2,043,980.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.