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Finding the Third Proportional to 30,159 and 65,910

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Solution

The third proportional to 30,159 and 65,910 is: 144,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 65,910 = 65,910 : x
  2. Step 2: Convert to fraction form
    30,159/65,910 = 65,910/x
  3. Step 3: Cross multiply
    30,159x = 65,910 × 65,910
  4. Step 4: Simplify right side
    30,159x = 4,344,128,100
  5. Step 5: Solve for x
    x = 4,344,128,100/30,159
  6. Step 6: Final answer
    x = 144,040.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.