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Finding the Third Proportional to 149,285 and 219,522

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Solution

The third proportional to 149,285 and 219,522 is: 322,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,285 : 219,522 = 219,522 : x
  2. Step 2: Convert to fraction form
    149,285/219,522 = 219,522/x
  3. Step 3: Cross multiply
    149,285x = 219,522 × 219,522
  4. Step 4: Simplify right side
    149,285x = 48,189,908,484
  5. Step 5: Solve for x
    x = 48,189,908,484/149,285
  6. Step 6: Final answer
    x = 322,804.76

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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.