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Finding the Third Proportional to 118,172.25 and 178,664.63

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Solution

The third proportional to 118,172.25 and 178,664.63 is: 270,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,172.25 : 178,664.63 = 178,664.63 : x
  2. Step 2: Convert to fraction form
    118,172.25/178,664.63 = 178,664.63/x
  3. Step 3: Cross multiply
    118,172.25x = 178,664.63 × 178,664.63
  4. Step 4: Simplify right side
    118,172.25x = 31,921,048,226.39
  5. Step 5: Solve for x
    x = 31,921,048,226.39/118,172.25
  6. Step 6: Final answer
    x = 270,123.05

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Why These Related Problems?

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