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Finding the Third Proportional to 418,256 and 631,308

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Solution

The third proportional to 418,256 and 631,308 is: 952,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,256 : 631,308 = 631,308 : x
  2. Step 2: Convert to fraction form
    418,256/631,308 = 631,308/x
  3. Step 3: Cross multiply
    418,256x = 631,308 × 631,308
  4. Step 4: Simplify right side
    418,256x = 398,549,790,864
  5. Step 5: Solve for x
    x = 398,549,790,864/418,256
  6. Step 6: Final answer
    x = 952,884.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.