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Finding the Third Proportional to 90,706.50 and 197,157.38

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Solution

The third proportional to 90,706.50 and 197,157.38 is: 428,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,706.50 : 197,157.38 = 197,157.38 : x
  2. Step 2: Convert to fraction form
    90,706.50/197,157.38 = 197,157.38/x
  3. Step 3: Cross multiply
    90,706.50x = 197,157.38 × 197,157.38
  4. Step 4: Simplify right side
    90,706.50x = 38,871,030,516.89
  5. Step 5: Solve for x
    x = 38,871,030,516.89/90,706.50
  6. Step 6: Final answer
    x = 428,536.33

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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.