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Finding the Third Proportional to 30,820 and 66,888

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Solution

The third proportional to 30,820 and 66,888 is: 145,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820 : 66,888 = 66,888 : x
  2. Step 2: Convert to fraction form
    30,820/66,888 = 66,888/x
  3. Step 3: Cross multiply
    30,820x = 66,888 × 66,888
  4. Step 4: Simplify right side
    30,820x = 4,474,004,544
  5. Step 5: Solve for x
    x = 4,474,004,544/30,820
  6. Step 6: Final answer
    x = 145,165.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.