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Finding the Third Proportional to 407,781 and 921,314

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Solution

The third proportional to 407,781 and 921,314 is: 2,081,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,781 : 921,314 = 921,314 : x
  2. Step 2: Convert to fraction form
    407,781/921,314 = 921,314/x
  3. Step 3: Cross multiply
    407,781x = 921,314 × 921,314
  4. Step 4: Simplify right side
    407,781x = 848,819,486,596
  5. Step 5: Solve for x
    x = 848,819,486,596/407,781
  6. Step 6: Final answer
    x = 2,081,557.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.