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Finding the Third Proportional to 409,494 and 631,735

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Solution

The third proportional to 409,494 and 631,735 is: 974,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,494 : 631,735 = 631,735 : x
  2. Step 2: Convert to fraction form
    409,494/631,735 = 631,735/x
  3. Step 3: Cross multiply
    409,494x = 631,735 × 631,735
  4. Step 4: Simplify right side
    409,494x = 399,089,110,225
  5. Step 5: Solve for x
    x = 399,089,110,225/409,494
  6. Step 6: Final answer
    x = 974,590.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.