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Finding the Third Proportional to 312,194 and 663,262

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Solution

The third proportional to 312,194 and 663,262 is: 1,409,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194 : 663,262 = 663,262 : x
  2. Step 2: Convert to fraction form
    312,194/663,262 = 663,262/x
  3. Step 3: Cross multiply
    312,194x = 663,262 × 663,262
  4. Step 4: Simplify right side
    312,194x = 439,916,480,644
  5. Step 5: Solve for x
    x = 439,916,480,644/312,194
  6. Step 6: Final answer
    x = 1,409,112.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.