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Finding the Third Proportional to 210,880 and 308,893

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Solution

The third proportional to 210,880 and 308,893 is: 452,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,880 : 308,893 = 308,893 : x
  2. Step 2: Convert to fraction form
    210,880/308,893 = 308,893/x
  3. Step 3: Cross multiply
    210,880x = 308,893 × 308,893
  4. Step 4: Simplify right side
    210,880x = 95,414,885,449
  5. Step 5: Solve for x
    x = 95,414,885,449/210,880
  6. Step 6: Final answer
    x = 452,460.57

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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.