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Finding the Third Proportional to 431,508 and 669,982

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Solution

The third proportional to 431,508 and 669,982 is: 1,040,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,508 : 669,982 = 669,982 : x
  2. Step 2: Convert to fraction form
    431,508/669,982 = 669,982/x
  3. Step 3: Cross multiply
    431,508x = 669,982 × 669,982
  4. Step 4: Simplify right side
    431,508x = 448,875,880,324
  5. Step 5: Solve for x
    x = 448,875,880,324/431,508
  6. Step 6: Final answer
    x = 1,040,249.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.