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Finding the Third Proportional to 678,384 and 996,840

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Solution

The third proportional to 678,384 and 996,840 is: 1,464,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,384 : 996,840 = 996,840 : x
  2. Step 2: Convert to fraction form
    678,384/996,840 = 996,840/x
  3. Step 3: Cross multiply
    678,384x = 996,840 × 996,840
  4. Step 4: Simplify right side
    678,384x = 993,689,985,600
  5. Step 5: Solve for x
    x = 993,689,985,600/678,384
  6. Step 6: Final answer
    x = 1,464,789.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.