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Finding the Third Proportional to 210,910 and 453,826

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Solution

The third proportional to 210,910 and 453,826 is: 976,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,910 : 453,826 = 453,826 : x
  2. Step 2: Convert to fraction form
    210,910/453,826 = 453,826/x
  3. Step 3: Cross multiply
    210,910x = 453,826 × 453,826
  4. Step 4: Simplify right side
    210,910x = 205,958,038,276
  5. Step 5: Solve for x
    x = 205,958,038,276/210,910
  6. Step 6: Final answer
    x = 976,520.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.