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Finding the Third Proportional to 409,356 and 631,530

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Solution

The third proportional to 409,356 and 631,530 is: 974,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,356 : 631,530 = 631,530 : x
  2. Step 2: Convert to fraction form
    409,356/631,530 = 631,530/x
  3. Step 3: Cross multiply
    409,356x = 631,530 × 631,530
  4. Step 4: Simplify right side
    409,356x = 398,830,140,900
  5. Step 5: Solve for x
    x = 398,830,140,900/409,356
  6. Step 6: Final answer
    x = 974,286.78

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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.