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Finding the Third Proportional to 678,438 and 996,913

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Solution

The third proportional to 678,438 and 996,913 is: 1,464,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,438 : 996,913 = 996,913 : x
  2. Step 2: Convert to fraction form
    678,438/996,913 = 996,913/x
  3. Step 3: Cross multiply
    678,438x = 996,913 × 996,913
  4. Step 4: Simplify right side
    678,438x = 993,835,529,569
  5. Step 5: Solve for x
    x = 993,835,529,569/678,438
  6. Step 6: Final answer
    x = 1,464,887.77

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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.