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Finding the Third Proportional to 298,676.25 and 644,852.25

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Solution

The third proportional to 298,676.25 and 644,852.25 is: 1,392,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,676.25 : 644,852.25 = 644,852.25 : x
  2. Step 2: Convert to fraction form
    298,676.25/644,852.25 = 644,852.25/x
  3. Step 3: Cross multiply
    298,676.25x = 644,852.25 × 644,852.25
  4. Step 4: Simplify right side
    298,676.25x = 415,834,424,330.06
  5. Step 5: Solve for x
    x = 415,834,424,330.06/298,676.25
  6. Step 6: Final answer
    x = 1,392,258.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.