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Finding the Third Proportional to 30,245 and 65,002

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Solution

The third proportional to 30,245 and 65,002 is: 139,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,245 : 65,002 = 65,002 : x
  2. Step 2: Convert to fraction form
    30,245/65,002 = 65,002/x
  3. Step 3: Cross multiply
    30,245x = 65,002 × 65,002
  4. Step 4: Simplify right side
    30,245x = 4,225,260,004
  5. Step 5: Solve for x
    x = 4,225,260,004/30,245
  6. Step 6: Final answer
    x = 139,701.11

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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.