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Finding the Third Proportional to 399,488 and 857,728

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Solution

The third proportional to 399,488 and 857,728 is: 1,841,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,488 : 857,728 = 857,728 : x
  2. Step 2: Convert to fraction form
    399,488/857,728 = 857,728/x
  3. Step 3: Cross multiply
    399,488x = 857,728 × 857,728
  4. Step 4: Simplify right side
    399,488x = 735,697,321,984
  5. Step 5: Solve for x
    x = 735,697,321,984/399,488
  6. Step 6: Final answer
    x = 1,841,600.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.