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Finding the Third Proportional to 399,699 and 856,377

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Solution

The third proportional to 399,699 and 856,377 is: 1,834,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,699 : 856,377 = 856,377 : x
  2. Step 2: Convert to fraction form
    399,699/856,377 = 856,377/x
  3. Step 3: Cross multiply
    399,699x = 856,377 × 856,377
  4. Step 4: Simplify right side
    399,699x = 733,381,566,129
  5. Step 5: Solve for x
    x = 733,381,566,129/399,699
  6. Step 6: Final answer
    x = 1,834,834.63

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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.