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Finding the Third Proportional to 421,106 and 647,924

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Solution

The third proportional to 421,106 and 647,924 is: 996,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,106 : 647,924 = 647,924 : x
  2. Step 2: Convert to fraction form
    421,106/647,924 = 647,924/x
  3. Step 3: Cross multiply
    421,106x = 647,924 × 647,924
  4. Step 4: Simplify right side
    421,106x = 419,805,509,776
  5. Step 5: Solve for x
    x = 419,805,509,776/421,106
  6. Step 6: Final answer
    x = 996,911.73

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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.