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Finding the Third Proportional to 210,022 and 322,809

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Solution

The third proportional to 210,022 and 322,809 is: 496,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,022 : 322,809 = 322,809 : x
  2. Step 2: Convert to fraction form
    210,022/322,809 = 322,809/x
  3. Step 3: Cross multiply
    210,022x = 322,809 × 322,809
  4. Step 4: Simplify right side
    210,022x = 104,205,650,481
  5. Step 5: Solve for x
    x = 104,205,650,481/210,022
  6. Step 6: Final answer
    x = 496,165.40

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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.