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Finding the Third Proportional to 209,784 and 322,641

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Solution

The third proportional to 209,784 and 322,641 is: 496,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,784 : 322,641 = 322,641 : x
  2. Step 2: Convert to fraction form
    209,784/322,641 = 322,641/x
  3. Step 3: Cross multiply
    209,784x = 322,641 × 322,641
  4. Step 4: Simplify right side
    209,784x = 104,097,214,881
  5. Step 5: Solve for x
    x = 104,097,214,881/209,784
  6. Step 6: Final answer
    x = 496,211.41

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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.