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Finding the Third Proportional to 116 and 212.50

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Solution

The third proportional to 116 and 212.50 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 212.50 = 212.50 : x
  2. Step 2: Convert to fraction form
    116/212.50 = 212.50/x
  3. Step 3: Cross multiply
    116x = 212.50 × 212.50
  4. Step 4: Simplify right side
    116x = 45,156.25
  5. Step 5: Solve for x
    x = 45,156.25/116
  6. Step 6: Final answer
    x = 389.28

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.