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Finding the Third Proportional to 399,390 and 854,940

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Solution

The third proportional to 399,390 and 854,940 is: 1,830,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,390 : 854,940 = 854,940 : x
  2. Step 2: Convert to fraction form
    399,390/854,940 = 854,940/x
  3. Step 3: Cross multiply
    399,390x = 854,940 × 854,940
  4. Step 4: Simplify right side
    399,390x = 730,922,403,600
  5. Step 5: Solve for x
    x = 730,922,403,600/399,390
  6. Step 6: Final answer
    x = 1,830,096.91

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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.