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Finding the Third Proportional to 399,006 and 854,058

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Solution

The third proportional to 399,006 and 854,058 is: 1,828,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,006 : 854,058 = 854,058 : x
  2. Step 2: Convert to fraction form
    399,006/854,058 = 854,058/x
  3. Step 3: Cross multiply
    399,006x = 854,058 × 854,058
  4. Step 4: Simplify right side
    399,006x = 729,415,067,364
  5. Step 5: Solve for x
    x = 729,415,067,364/399,006
  6. Step 6: Final answer
    x = 1,828,080.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.