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Finding the Third Proportional to 429,558 and 631,185

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Solution

The third proportional to 429,558 and 631,185 is: 927,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,558 : 631,185 = 631,185 : x
  2. Step 2: Convert to fraction form
    429,558/631,185 = 631,185/x
  3. Step 3: Cross multiply
    429,558x = 631,185 × 631,185
  4. Step 4: Simplify right side
    429,558x = 398,394,504,225
  5. Step 5: Solve for x
    x = 398,394,504,225/429,558
  6. Step 6: Final answer
    x = 927,452.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.