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Finding the Third Proportional to 694,308 and 921,275

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Solution

The third proportional to 694,308 and 921,275 is: 1,222,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,308 : 921,275 = 921,275 : x
  2. Step 2: Convert to fraction form
    694,308/921,275 = 921,275/x
  3. Step 3: Cross multiply
    694,308x = 921,275 × 921,275
  4. Step 4: Simplify right side
    694,308x = 848,747,625,625
  5. Step 5: Solve for x
    x = 848,747,625,625/694,308
  6. Step 6: Final answer
    x = 1,222,436.77

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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.