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Finding the Third Proportional to 158,146 and 378,013

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Solution

The third proportional to 158,146 and 378,013 is: 903,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,146 : 378,013 = 378,013 : x
  2. Step 2: Convert to fraction form
    158,146/378,013 = 378,013/x
  3. Step 3: Cross multiply
    158,146x = 378,013 × 378,013
  4. Step 4: Simplify right side
    158,146x = 142,893,828,169
  5. Step 5: Solve for x
    x = 142,893,828,169/158,146
  6. Step 6: Final answer
    x = 903,556.39

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.