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Finding the Third Proportional to 432,311 and 690,626

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Solution

The third proportional to 432,311 and 690,626 is: 1,103,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,311 : 690,626 = 690,626 : x
  2. Step 2: Convert to fraction form
    432,311/690,626 = 690,626/x
  3. Step 3: Cross multiply
    432,311x = 690,626 × 690,626
  4. Step 4: Simplify right side
    432,311x = 476,964,271,876
  5. Step 5: Solve for x
    x = 476,964,271,876/432,311
  6. Step 6: Final answer
    x = 1,103,289.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.