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Finding the Third Proportional to 151,078 and 222,440

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Solution

The third proportional to 151,078 and 222,440 is: 327,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,078 : 222,440 = 222,440 : x
  2. Step 2: Convert to fraction form
    151,078/222,440 = 222,440/x
  3. Step 3: Cross multiply
    151,078x = 222,440 × 222,440
  4. Step 4: Simplify right side
    151,078x = 49,479,553,600
  5. Step 5: Solve for x
    x = 49,479,553,600/151,078
  6. Step 6: Final answer
    x = 327,509.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.