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Finding the Third Proportional to 421,112 and 647,933

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Solution

The third proportional to 421,112 and 647,933 is: 996,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,112 : 647,933 = 647,933 : x
  2. Step 2: Convert to fraction form
    421,112/647,933 = 647,933/x
  3. Step 3: Cross multiply
    421,112x = 647,933 × 647,933
  4. Step 4: Simplify right side
    421,112x = 419,817,172,489
  5. Step 5: Solve for x
    x = 419,817,172,489/421,112
  6. Step 6: Final answer
    x = 996,925.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.