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Finding the Third Proportional to 678,422 and 921,369

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Solution

The third proportional to 678,422 and 921,369 is: 1,251,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,422 : 921,369 = 921,369 : x
  2. Step 2: Convert to fraction form
    678,422/921,369 = 921,369/x
  3. Step 3: Cross multiply
    678,422x = 921,369 × 921,369
  4. Step 4: Simplify right side
    678,422x = 848,920,834,161
  5. Step 5: Solve for x
    x = 848,920,834,161/678,422
  6. Step 6: Final answer
    x = 1,251,316.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.