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Finding the Third Proportional to 36,066 and 77,880

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Solution

The third proportional to 36,066 and 77,880 is: 168,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,066 : 77,880 = 77,880 : x
  2. Step 2: Convert to fraction form
    36,066/77,880 = 77,880/x
  3. Step 3: Cross multiply
    36,066x = 77,880 × 77,880
  4. Step 4: Simplify right side
    36,066x = 6,065,294,400
  5. Step 5: Solve for x
    x = 6,065,294,400/36,066
  6. Step 6: Final answer
    x = 168,172.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.