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Finding the Third Proportional to 678,417 and 996,889

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Solution

The third proportional to 678,417 and 996,889 is: 1,464,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,417 : 996,889 = 996,889 : x
  2. Step 2: Convert to fraction form
    678,417/996,889 = 996,889/x
  3. Step 3: Cross multiply
    678,417x = 996,889 × 996,889
  4. Step 4: Simplify right side
    678,417x = 993,787,678,321
  5. Step 5: Solve for x
    x = 993,787,678,321/678,417
  6. Step 6: Final answer
    x = 1,464,862.58

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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.