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Finding the Third Proportional to 210,023 and 322,811

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Solution

The third proportional to 210,023 and 322,811 is: 496,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,023 : 322,811 = 322,811 : x
  2. Step 2: Convert to fraction form
    210,023/322,811 = 322,811/x
  3. Step 3: Cross multiply
    210,023x = 322,811 × 322,811
  4. Step 4: Simplify right side
    210,023x = 104,206,941,721
  5. Step 5: Solve for x
    x = 104,206,941,721/210,023
  6. Step 6: Final answer
    x = 496,169.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.