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Finding the Third Proportional to 209,799 and 322,663.50

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Solution

The third proportional to 209,799 and 322,663.50 is: 496,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,799 : 322,663.50 = 322,663.50 : x
  2. Step 2: Convert to fraction form
    209,799/322,663.50 = 322,663.50/x
  3. Step 3: Cross multiply
    209,799x = 322,663.50 × 322,663.50
  4. Step 4: Simplify right side
    209,799x = 104,111,734,232.25
  5. Step 5: Solve for x
    x = 104,111,734,232.25/209,799
  6. Step 6: Final answer
    x = 496,245.14

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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.