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Finding the Third Proportional to 210,977 and 454,935

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Solution

The third proportional to 210,977 and 454,935 is: 980,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,977 : 454,935 = 454,935 : x
  2. Step 2: Convert to fraction form
    210,977/454,935 = 454,935/x
  3. Step 3: Cross multiply
    210,977x = 454,935 × 454,935
  4. Step 4: Simplify right side
    210,977x = 206,965,854,225
  5. Step 5: Solve for x
    x = 206,965,854,225/210,977
  6. Step 6: Final answer
    x = 980,987.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.