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Finding the Third Proportional to 629,808 and 921,288

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Solution

The third proportional to 629,808 and 921,288 is: 1,347,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,808 : 921,288 = 921,288 : x
  2. Step 2: Convert to fraction form
    629,808/921,288 = 921,288/x
  3. Step 3: Cross multiply
    629,808x = 921,288 × 921,288
  4. Step 4: Simplify right side
    629,808x = 848,771,578,944
  5. Step 5: Solve for x
    x = 848,771,578,944/629,808
  6. Step 6: Final answer
    x = 1,347,667.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.