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Finding the Third Proportional to 694,310 and 921,278

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Solution

The third proportional to 694,310 and 921,278 is: 1,222,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,310 : 921,278 = 921,278 : x
  2. Step 2: Convert to fraction form
    694,310/921,278 = 921,278/x
  3. Step 3: Cross multiply
    694,310x = 921,278 × 921,278
  4. Step 4: Simplify right side
    694,310x = 848,753,153,284
  5. Step 5: Solve for x
    x = 848,753,153,284/694,310
  6. Step 6: Final answer
    x = 1,222,441.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.