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Finding the Third Proportional to 388,960 and 804,920

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Solution

The third proportional to 388,960 and 804,920 is: 1,665,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,960 : 804,920 = 804,920 : x
  2. Step 2: Convert to fraction form
    388,960/804,920 = 804,920/x
  3. Step 3: Cross multiply
    388,960x = 804,920 × 804,920
  4. Step 4: Simplify right side
    388,960x = 647,896,206,400
  5. Step 5: Solve for x
    x = 647,896,206,400/388,960
  6. Step 6: Final answer
    x = 1,665,714.23

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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.