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Finding the Third Proportional to 405,857 and 630,885

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Solution

The third proportional to 405,857 and 630,885 is: 980,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,857 : 630,885 = 630,885 : x
  2. Step 2: Convert to fraction form
    405,857/630,885 = 630,885/x
  3. Step 3: Cross multiply
    405,857x = 630,885 × 630,885
  4. Step 4: Simplify right side
    405,857x = 398,015,883,225
  5. Step 5: Solve for x
    x = 398,015,883,225/405,857
  6. Step 6: Final answer
    x = 980,680.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.