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Finding the Third Proportional to 422,958 and 915,612

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Solution

The third proportional to 422,958 and 915,612 is: 1,982,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,958 : 915,612 = 915,612 : x
  2. Step 2: Convert to fraction form
    422,958/915,612 = 915,612/x
  3. Step 3: Cross multiply
    422,958x = 915,612 × 915,612
  4. Step 4: Simplify right side
    422,958x = 838,345,334,544
  5. Step 5: Solve for x
    x = 838,345,334,544/422,958
  6. Step 6: Final answer
    x = 1,982,100.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.