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Finding the Third Proportional to 70,940 and 118,233.50

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Solution

The third proportional to 70,940 and 118,233.50 is: 197,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940 : 118,233.50 = 118,233.50 : x
  2. Step 2: Convert to fraction form
    70,940/118,233.50 = 118,233.50/x
  3. Step 3: Cross multiply
    70,940x = 118,233.50 × 118,233.50
  4. Step 4: Simplify right side
    70,940x = 13,979,160,522.25
  5. Step 5: Solve for x
    x = 13,979,160,522.25/70,940
  6. Step 6: Final answer
    x = 197,056.11

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