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Finding the Third Proportional to 94,612.50 and 142,321.50

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Solution

The third proportional to 94,612.50 and 142,321.50 is: 214,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,612.50 : 142,321.50 = 142,321.50 : x
  2. Step 2: Convert to fraction form
    94,612.50/142,321.50 = 142,321.50/x
  3. Step 3: Cross multiply
    94,612.50x = 142,321.50 × 142,321.50
  4. Step 4: Simplify right side
    94,612.50x = 20,255,409,362.25
  5. Step 5: Solve for x
    x = 20,255,409,362.25/94,612.50
  6. Step 6: Final answer
    x = 214,088.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.