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Finding the Third Proportional to 310,318 and 416,194

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Solution

The third proportional to 310,318 and 416,194 is: 558,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,318 : 416,194 = 416,194 : x
  2. Step 2: Convert to fraction form
    310,318/416,194 = 416,194/x
  3. Step 3: Cross multiply
    310,318x = 416,194 × 416,194
  4. Step 4: Simplify right side
    310,318x = 173,217,445,636
  5. Step 5: Solve for x
    x = 173,217,445,636/310,318
  6. Step 6: Final answer
    x = 558,193.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.