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Finding the Third Proportional to 640,433.25 and 964,845

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Solution

The third proportional to 640,433.25 and 964,845 is: 1,453,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,433.25 : 964,845 = 964,845 : x
  2. Step 2: Convert to fraction form
    640,433.25/964,845 = 964,845/x
  3. Step 3: Cross multiply
    640,433.25x = 964,845 × 964,845
  4. Step 4: Simplify right side
    640,433.25x = 930,925,874,025
  5. Step 5: Solve for x
    x = 930,925,874,025/640,433.25
  6. Step 6: Final answer
    x = 1,453,587.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.