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Finding the Third Proportional to 388,834 and 804,658

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Solution

The third proportional to 388,834 and 804,658 is: 1,665,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,834 : 804,658 = 804,658 : x
  2. Step 2: Convert to fraction form
    388,834/804,658 = 804,658/x
  3. Step 3: Cross multiply
    388,834x = 804,658 × 804,658
  4. Step 4: Simplify right side
    388,834x = 647,474,496,964
  5. Step 5: Solve for x
    x = 647,474,496,964/388,834
  6. Step 6: Final answer
    x = 1,665,169.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.