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Finding the Third Proportional to 118,300.13 and 178,861.50

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Solution

The third proportional to 118,300.13 and 178,861.50 is: 270,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,300.13 : 178,861.50 = 178,861.50 : x
  2. Step 2: Convert to fraction form
    118,300.13/178,861.50 = 178,861.50/x
  3. Step 3: Cross multiply
    118,300.13x = 178,861.50 × 178,861.50
  4. Step 4: Simplify right side
    118,300.13x = 31,991,436,182.25
  5. Step 5: Solve for x
    x = 31,991,436,182.25/118,300.13
  6. Step 6: Final answer
    x = 270,426.06

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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.