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Finding the Third Proportional to 312,202 and 663,278

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Solution

The third proportional to 312,202 and 663,278 is: 1,409,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,202 : 663,278 = 663,278 : x
  2. Step 2: Convert to fraction form
    312,202/663,278 = 663,278/x
  3. Step 3: Cross multiply
    312,202x = 663,278 × 663,278
  4. Step 4: Simplify right side
    312,202x = 439,937,705,284
  5. Step 5: Solve for x
    x = 439,937,705,284/312,202
  6. Step 6: Final answer
    x = 1,409,144.42

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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.