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Finding the Third Proportional to 415,334 and 631,211

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Solution

The third proportional to 415,334 and 631,211 is: 959,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,334 : 631,211 = 631,211 : x
  2. Step 2: Convert to fraction form
    415,334/631,211 = 631,211/x
  3. Step 3: Cross multiply
    415,334x = 631,211 × 631,211
  4. Step 4: Simplify right side
    415,334x = 398,427,326,521
  5. Step 5: Solve for x
    x = 398,427,326,521/415,334
  6. Step 6: Final answer
    x = 959,293.79

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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.