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Finding the Third Proportional to 43,778 and 64,515

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Solution

The third proportional to 43,778 and 64,515 is: 95,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,778 : 64,515 = 64,515 : x
  2. Step 2: Convert to fraction form
    43,778/64,515 = 64,515/x
  3. Step 3: Cross multiply
    43,778x = 64,515 × 64,515
  4. Step 4: Simplify right side
    43,778x = 4,162,185,225
  5. Step 5: Solve for x
    x = 4,162,185,225/43,778
  6. Step 6: Final answer
    x = 95,074.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.