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Finding the Third Proportional to 399,676 and 869,840

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Solution

The third proportional to 399,676 and 869,840 is: 1,893,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,676 : 869,840 = 869,840 : x
  2. Step 2: Convert to fraction form
    399,676/869,840 = 869,840/x
  3. Step 3: Cross multiply
    399,676x = 869,840 × 869,840
  4. Step 4: Simplify right side
    399,676x = 756,621,625,600
  5. Step 5: Solve for x
    x = 756,621,625,600/399,676
  6. Step 6: Final answer
    x = 1,893,087.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.