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Finding the Third Proportional to 386,990 and 557,403

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Solution

The third proportional to 386,990 and 557,403 is: 802,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,990 : 557,403 = 557,403 : x
  2. Step 2: Convert to fraction form
    386,990/557,403 = 557,403/x
  3. Step 3: Cross multiply
    386,990x = 557,403 × 557,403
  4. Step 4: Simplify right side
    386,990x = 310,698,104,409
  5. Step 5: Solve for x
    x = 310,698,104,409/386,990
  6. Step 6: Final answer
    x = 802,858.22

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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.