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Finding the Third Proportional to 30,190 and 65,003

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Solution

The third proportional to 30,190 and 65,003 is: 139,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,190 : 65,003 = 65,003 : x
  2. Step 2: Convert to fraction form
    30,190/65,003 = 65,003/x
  3. Step 3: Cross multiply
    30,190x = 65,003 × 65,003
  4. Step 4: Simplify right side
    30,190x = 4,225,390,009
  5. Step 5: Solve for x
    x = 4,225,390,009/30,190
  6. Step 6: Final answer
    x = 139,959.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.