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Finding the Third Proportional to 405,754 and 633,197

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Solution

The third proportional to 405,754 and 633,197 is: 988,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,754 : 633,197 = 633,197 : x
  2. Step 2: Convert to fraction form
    405,754/633,197 = 633,197/x
  3. Step 3: Cross multiply
    405,754x = 633,197 × 633,197
  4. Step 4: Simplify right side
    405,754x = 400,938,440,809
  5. Step 5: Solve for x
    x = 400,938,440,809/405,754
  6. Step 6: Final answer
    x = 988,131.83

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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.