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Finding the Third Proportional to 409,698 and 839,646

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Solution

The third proportional to 409,698 and 839,646 is: 1,720,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698 : 839,646 = 839,646 : x
  2. Step 2: Convert to fraction form
    409,698/839,646 = 839,646/x
  3. Step 3: Cross multiply
    409,698x = 839,646 × 839,646
  4. Step 4: Simplify right side
    409,698x = 705,005,405,316
  5. Step 5: Solve for x
    x = 705,005,405,316/409,698
  6. Step 6: Final answer
    x = 1,720,792.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.