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Finding the Third Proportional to 415,322 and 631,191

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Solution

The third proportional to 415,322 and 631,191 is: 959,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,322 : 631,191 = 631,191 : x
  2. Step 2: Convert to fraction form
    415,322/631,191 = 631,191/x
  3. Step 3: Cross multiply
    415,322x = 631,191 × 631,191
  4. Step 4: Simplify right side
    415,322x = 398,402,078,481
  5. Step 5: Solve for x
    x = 398,402,078,481/415,322
  6. Step 6: Final answer
    x = 959,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.