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Finding the Third Proportional to 210,843 and 430,258.50

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Solution

The third proportional to 210,843 and 430,258.50 is: 878,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843 : 430,258.50 = 430,258.50 : x
  2. Step 2: Convert to fraction form
    210,843/430,258.50 = 430,258.50/x
  3. Step 3: Cross multiply
    210,843x = 430,258.50 × 430,258.50
  4. Step 4: Simplify right side
    210,843x = 185,122,376,822.25
  5. Step 5: Solve for x
    x = 185,122,376,822.25/210,843
  6. Step 6: Final answer
    x = 878,010.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.