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Finding the Third Proportional to 30,018 and 65,004

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Solution

The third proportional to 30,018 and 65,004 is: 140,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,018 : 65,004 = 65,004 : x
  2. Step 2: Convert to fraction form
    30,018/65,004 = 65,004/x
  3. Step 3: Cross multiply
    30,018x = 65,004 × 65,004
  4. Step 4: Simplify right side
    30,018x = 4,225,520,016
  5. Step 5: Solve for x
    x = 4,225,520,016/30,018
  6. Step 6: Final answer
    x = 140,766.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.