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Finding the Third Proportional to 209,785 and 322,642

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Solution

The third proportional to 209,785 and 322,642 is: 496,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,785 : 322,642 = 322,642 : x
  2. Step 2: Convert to fraction form
    209,785/322,642 = 322,642/x
  3. Step 3: Cross multiply
    209,785x = 322,642 × 322,642
  4. Step 4: Simplify right side
    209,785x = 104,097,860,164
  5. Step 5: Solve for x
    x = 104,097,860,164/209,785
  6. Step 6: Final answer
    x = 496,212.12

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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.