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Finding the Third Proportional to 210,514 and 401,628

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Solution

The third proportional to 210,514 and 401,628 is: 766,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,514 : 401,628 = 401,628 : x
  2. Step 2: Convert to fraction form
    210,514/401,628 = 401,628/x
  3. Step 3: Cross multiply
    210,514x = 401,628 × 401,628
  4. Step 4: Simplify right side
    210,514x = 161,305,050,384
  5. Step 5: Solve for x
    x = 161,305,050,384/210,514
  6. Step 6: Final answer
    x = 766,243.81

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.