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Finding the Third Proportional to 210,959 and 281,803

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Solution

The third proportional to 210,959 and 281,803 is: 376,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,959 : 281,803 = 281,803 : x
  2. Step 2: Convert to fraction form
    210,959/281,803 = 281,803/x
  3. Step 3: Cross multiply
    210,959x = 281,803 × 281,803
  4. Step 4: Simplify right side
    210,959x = 79,412,930,809
  5. Step 5: Solve for x
    x = 79,412,930,809/210,959
  6. Step 6: Final answer
    x = 376,437.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.