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Finding the Third Proportional to 210,858 and 308,378

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Solution

The third proportional to 210,858 and 308,378 is: 451,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,858 : 308,378 = 308,378 : x
  2. Step 2: Convert to fraction form
    210,858/308,378 = 308,378/x
  3. Step 3: Cross multiply
    210,858x = 308,378 × 308,378
  4. Step 4: Simplify right side
    210,858x = 95,096,990,884
  5. Step 5: Solve for x
    x = 95,096,990,884/210,858
  6. Step 6: Final answer
    x = 451,000.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.