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Finding the Third Proportional to 30,069 and 68,009

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Solution

The third proportional to 30,069 and 68,009 is: 153,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069 : 68,009 = 68,009 : x
  2. Step 2: Convert to fraction form
    30,069/68,009 = 68,009/x
  3. Step 3: Cross multiply
    30,069x = 68,009 × 68,009
  4. Step 4: Simplify right side
    30,069x = 4,625,224,081
  5. Step 5: Solve for x
    x = 4,625,224,081/30,069
  6. Step 6: Final answer
    x = 153,820.35

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.