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Finding the Third Proportional to 315,968 and 693,162

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Solution

The third proportional to 315,968 and 693,162 is: 1,520,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,968 : 693,162 = 693,162 : x
  2. Step 2: Convert to fraction form
    315,968/693,162 = 693,162/x
  3. Step 3: Cross multiply
    315,968x = 693,162 × 693,162
  4. Step 4: Simplify right side
    315,968x = 480,473,558,244
  5. Step 5: Solve for x
    x = 480,473,558,244/315,968
  6. Step 6: Final answer
    x = 1,520,639.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.