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Finding the Third Proportional to 399,701 and 856,381

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Solution

The third proportional to 399,701 and 856,381 is: 1,834,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,701 : 856,381 = 856,381 : x
  2. Step 2: Convert to fraction form
    399,701/856,381 = 856,381/x
  3. Step 3: Cross multiply
    399,701x = 856,381 × 856,381
  4. Step 4: Simplify right side
    399,701x = 733,388,417,161
  5. Step 5: Solve for x
    x = 733,388,417,161/399,701
  6. Step 6: Final answer
    x = 1,834,842.59

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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.