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Finding the Third Proportional to 138,028 and 205,826

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Solution

The third proportional to 138,028 and 205,826 is: 306,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,028 : 205,826 = 205,826 : x
  2. Step 2: Convert to fraction form
    138,028/205,826 = 205,826/x
  3. Step 3: Cross multiply
    138,028x = 205,826 × 205,826
  4. Step 4: Simplify right side
    138,028x = 42,364,342,276
  5. Step 5: Solve for x
    x = 42,364,342,276/138,028
  6. Step 6: Final answer
    x = 306,925.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.