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Finding the Third Proportional to 30,971 and 45,159

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Solution

The third proportional to 30,971 and 45,159 is: 65,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971 : 45,159 = 45,159 : x
  2. Step 2: Convert to fraction form
    30,971/45,159 = 45,159/x
  3. Step 3: Cross multiply
    30,971x = 45,159 × 45,159
  4. Step 4: Simplify right side
    30,971x = 2,039,335,281
  5. Step 5: Solve for x
    x = 2,039,335,281/30,971
  6. Step 6: Final answer
    x = 65,846.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.