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Finding the Third Proportional to 409,230 and 631,341

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Solution

The third proportional to 409,230 and 631,341 is: 974,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,230 : 631,341 = 631,341 : x
  2. Step 2: Convert to fraction form
    409,230/631,341 = 631,341/x
  3. Step 3: Cross multiply
    409,230x = 631,341 × 631,341
  4. Step 4: Simplify right side
    409,230x = 398,591,458,281
  5. Step 5: Solve for x
    x = 398,591,458,281/409,230
  6. Step 6: Final answer
    x = 974,003.51

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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.