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Finding the Third Proportional to 643,512 and 964,025

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Solution

The third proportional to 643,512 and 964,025 is: 1,444,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,512 : 964,025 = 964,025 : x
  2. Step 2: Convert to fraction form
    643,512/964,025 = 964,025/x
  3. Step 3: Cross multiply
    643,512x = 964,025 × 964,025
  4. Step 4: Simplify right side
    643,512x = 929,344,200,625
  5. Step 5: Solve for x
    x = 929,344,200,625/643,512
  6. Step 6: Final answer
    x = 1,444,175.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.