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Finding the Third Proportional to 210,163 and 451,430

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Solution

The third proportional to 210,163 and 451,430 is: 969,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,163 : 451,430 = 451,430 : x
  2. Step 2: Convert to fraction form
    210,163/451,430 = 451,430/x
  3. Step 3: Cross multiply
    210,163x = 451,430 × 451,430
  4. Step 4: Simplify right side
    210,163x = 203,789,044,900
  5. Step 5: Solve for x
    x = 203,789,044,900/210,163
  6. Step 6: Final answer
    x = 969,671.37

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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.