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Finding the Third Proportional to 315,414 and 681,696

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Solution

The third proportional to 315,414 and 681,696 is: 1,473,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,414 : 681,696 = 681,696 : x
  2. Step 2: Convert to fraction form
    315,414/681,696 = 681,696/x
  3. Step 3: Cross multiply
    315,414x = 681,696 × 681,696
  4. Step 4: Simplify right side
    315,414x = 464,709,436,416
  5. Step 5: Solve for x
    x = 464,709,436,416/315,414
  6. Step 6: Final answer
    x = 1,473,331.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.