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Finding the Third Proportional to 645,117 and 902,286

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Solution

The third proportional to 645,117 and 902,286 is: 1,261,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,117 : 902,286 = 902,286 : x
  2. Step 2: Convert to fraction form
    645,117/902,286 = 902,286/x
  3. Step 3: Cross multiply
    645,117x = 902,286 × 902,286
  4. Step 4: Simplify right side
    645,117x = 814,120,025,796
  5. Step 5: Solve for x
    x = 814,120,025,796/645,117
  6. Step 6: Final answer
    x = 1,261,972.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.