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Finding the Third Proportional to 71,035.50 and 118,376.25

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Solution

The third proportional to 71,035.50 and 118,376.25 is: 197,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,035.50 : 118,376.25 = 118,376.25 : x
  2. Step 2: Convert to fraction form
    71,035.50/118,376.25 = 118,376.25/x
  3. Step 3: Cross multiply
    71,035.50x = 118,376.25 × 118,376.25
  4. Step 4: Simplify right side
    71,035.50x = 14,012,936,564.06
  5. Step 5: Solve for x
    x = 14,012,936,564.06/71,035.50
  6. Step 6: Final answer
    x = 197,266.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.