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Finding the Third Proportional to 193,040 and 303,132

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Solution

The third proportional to 193,040 and 303,132 is: 476,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,040 : 303,132 = 303,132 : x
  2. Step 2: Convert to fraction form
    193,040/303,132 = 303,132/x
  3. Step 3: Cross multiply
    193,040x = 303,132 × 303,132
  4. Step 4: Simplify right side
    193,040x = 91,889,009,424
  5. Step 5: Solve for x
    x = 91,889,009,424/193,040
  6. Step 6: Final answer
    x = 476,010.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.