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Finding the Third Proportional to 678,821 and 1,006,483

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Solution

The third proportional to 678,821 and 1,006,483 is: 1,492,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,821 : 1,006,483 = 1,006,483 : x
  2. Step 2: Convert to fraction form
    678,821/1,006,483 = 1,006,483/x
  3. Step 3: Cross multiply
    678,821x = 1,006,483 × 1,006,483
  4. Step 4: Simplify right side
    678,821x = 1,013,008,029,289
  5. Step 5: Solve for x
    x = 1,013,008,029,289/678,821
  6. Step 6: Final answer
    x = 1,492,305.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.