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Finding the Third Proportional to 633,159 and 905,356

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Solution

The third proportional to 633,159 and 905,356 is: 1,294,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,159 : 905,356 = 905,356 : x
  2. Step 2: Convert to fraction form
    633,159/905,356 = 905,356/x
  3. Step 3: Cross multiply
    633,159x = 905,356 × 905,356
  4. Step 4: Simplify right side
    633,159x = 819,669,486,736
  5. Step 5: Solve for x
    x = 819,669,486,736/633,159
  6. Step 6: Final answer
    x = 1,294,571.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.