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Finding the Third Proportional to 513,696 and 681,804

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Solution

The third proportional to 513,696 and 681,804 is: 904,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,696 : 681,804 = 681,804 : x
  2. Step 2: Convert to fraction form
    513,696/681,804 = 681,804/x
  3. Step 3: Cross multiply
    513,696x = 681,804 × 681,804
  4. Step 4: Simplify right side
    513,696x = 464,856,694,416
  5. Step 5: Solve for x
    x = 464,856,694,416/513,696
  6. Step 6: Final answer
    x = 904,925.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.