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Finding the Third Proportional to 138,028 and 302,048

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Solution

The third proportional to 138,028 and 302,048 is: 660,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,028 : 302,048 = 302,048 : x
  2. Step 2: Convert to fraction form
    138,028/302,048 = 302,048/x
  3. Step 3: Cross multiply
    138,028x = 302,048 × 302,048
  4. Step 4: Simplify right side
    138,028x = 91,232,994,304
  5. Step 5: Solve for x
    x = 91,232,994,304/138,028
  6. Step 6: Final answer
    x = 660,974.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.