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Finding the Third Proportional to 515,450 and 1,045,396

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Solution

The third proportional to 515,450 and 1,045,396 is: 2,120,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,450 : 1,045,396 = 1,045,396 : x
  2. Step 2: Convert to fraction form
    515,450/1,045,396 = 1,045,396/x
  3. Step 3: Cross multiply
    515,450x = 1,045,396 × 1,045,396
  4. Step 4: Simplify right side
    515,450x = 1,092,852,796,816
  5. Step 5: Solve for x
    x = 1,092,852,796,816/515,450
  6. Step 6: Final answer
    x = 2,120,191.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.