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Finding the Third Proportional to 132,100.50 and 204,631.50

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Solution

The third proportional to 132,100.50 and 204,631.50 is: 316,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,100.50 : 204,631.50 = 204,631.50 : x
  2. Step 2: Convert to fraction form
    132,100.50/204,631.50 = 204,631.50/x
  3. Step 3: Cross multiply
    132,100.50x = 204,631.50 × 204,631.50
  4. Step 4: Simplify right side
    132,100.50x = 41,874,050,792.25
  5. Step 5: Solve for x
    x = 41,874,050,792.25/132,100.50
  6. Step 6: Final answer
    x = 316,986.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.