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Finding the Third Proportional to 628,129 and 1,375,881

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Solution

The third proportional to 628,129 and 1,375,881 is: 3,013,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,129 : 1,375,881 = 1,375,881 : x
  2. Step 2: Convert to fraction form
    628,129/1,375,881 = 1,375,881/x
  3. Step 3: Cross multiply
    628,129x = 1,375,881 × 1,375,881
  4. Step 4: Simplify right side
    628,129x = 1,893,048,526,161
  5. Step 5: Solve for x
    x = 1,893,048,526,161/628,129
  6. Step 6: Final answer
    x = 3,013,789.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.