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Finding the Third Proportional to 222,802.50 and 438,222.75

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Solution

The third proportional to 222,802.50 and 438,222.75 is: 861,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,802.50 : 438,222.75 = 438,222.75 : x
  2. Step 2: Convert to fraction form
    222,802.50/438,222.75 = 438,222.75/x
  3. Step 3: Cross multiply
    222,802.50x = 438,222.75 × 438,222.75
  4. Step 4: Simplify right side
    222,802.50x = 192,039,178,617.56
  5. Step 5: Solve for x
    x = 192,039,178,617.56/222,802.50
  6. Step 6: Final answer
    x = 861,925.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.