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Finding the Third Proportional to 399,663 and 856,008

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Solution

The third proportional to 399,663 and 856,008 is: 1,833,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,663 : 856,008 = 856,008 : x
  2. Step 2: Convert to fraction form
    399,663/856,008 = 856,008/x
  3. Step 3: Cross multiply
    399,663x = 856,008 × 856,008
  4. Step 4: Simplify right side
    399,663x = 732,749,696,064
  5. Step 5: Solve for x
    x = 732,749,696,064/399,663
  6. Step 6: Final answer
    x = 1,833,418.90

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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.