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Finding the Third Proportional to 94,432 and 142,558.50

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Solution

The third proportional to 94,432 and 142,558.50 is: 215,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,432 : 142,558.50 = 142,558.50 : x
  2. Step 2: Convert to fraction form
    94,432/142,558.50 = 142,558.50/x
  3. Step 3: Cross multiply
    94,432x = 142,558.50 × 142,558.50
  4. Step 4: Simplify right side
    94,432x = 20,322,925,922.25
  5. Step 5: Solve for x
    x = 20,322,925,922.25/94,432
  6. Step 6: Final answer
    x = 215,212.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.