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Finding the Third Proportional to 386,992 and 557,406

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Solution

The third proportional to 386,992 and 557,406 is: 802,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,992 : 557,406 = 557,406 : x
  2. Step 2: Convert to fraction form
    386,992/557,406 = 557,406/x
  3. Step 3: Cross multiply
    386,992x = 557,406 × 557,406
  4. Step 4: Simplify right side
    386,992x = 310,701,448,836
  5. Step 5: Solve for x
    x = 310,701,448,836/386,992
  6. Step 6: Final answer
    x = 802,862.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.