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Finding the Third Proportional to 678,421 and 996,895

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Solution

The third proportional to 678,421 and 996,895 is: 1,464,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,421 : 996,895 = 996,895 : x
  2. Step 2: Convert to fraction form
    678,421/996,895 = 996,895/x
  3. Step 3: Cross multiply
    678,421x = 996,895 × 996,895
  4. Step 4: Simplify right side
    678,421x = 993,799,641,025
  5. Step 5: Solve for x
    x = 993,799,641,025/678,421
  6. Step 6: Final answer
    x = 1,464,871.58

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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.