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Finding the Third Proportional to 66,778 and 99,955

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Solution

The third proportional to 66,778 and 99,955 is: 149,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,778 : 99,955 = 99,955 : x
  2. Step 2: Convert to fraction form
    66,778/99,955 = 99,955/x
  3. Step 3: Cross multiply
    66,778x = 99,955 × 99,955
  4. Step 4: Simplify right side
    66,778x = 9,991,002,025
  5. Step 5: Solve for x
    x = 9,991,002,025/66,778
  6. Step 6: Final answer
    x = 149,615.17

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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.