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Finding the Third Proportional to 405,767 and 633,215

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Solution

The third proportional to 405,767 and 633,215 is: 988,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,767 : 633,215 = 633,215 : x
  2. Step 2: Convert to fraction form
    405,767/633,215 = 633,215/x
  3. Step 3: Cross multiply
    405,767x = 633,215 × 633,215
  4. Step 4: Simplify right side
    405,767x = 400,961,236,225
  5. Step 5: Solve for x
    x = 400,961,236,225/405,767
  6. Step 6: Final answer
    x = 988,156.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.