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Finding the Third Proportional to 174,258 and 378,020

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Solution

The third proportional to 174,258 and 378,020 is: 820,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,258 : 378,020 = 378,020 : x
  2. Step 2: Convert to fraction form
    174,258/378,020 = 378,020/x
  3. Step 3: Cross multiply
    174,258x = 378,020 × 378,020
  4. Step 4: Simplify right side
    174,258x = 142,899,120,400
  5. Step 5: Solve for x
    x = 142,899,120,400/174,258
  6. Step 6: Final answer
    x = 820,043.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.