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Finding the Third Proportional to 30,647 and 45,971

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Solution

The third proportional to 30,647 and 45,971 is: 68,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647 : 45,971 = 45,971 : x
  2. Step 2: Convert to fraction form
    30,647/45,971 = 45,971/x
  3. Step 3: Cross multiply
    30,647x = 45,971 × 45,971
  4. Step 4: Simplify right side
    30,647x = 2,113,332,841
  5. Step 5: Solve for x
    x = 2,113,332,841/30,647
  6. Step 6: Final answer
    x = 68,957.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.