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Finding the Third Proportional to 203,043 and 298,678.50

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Solution

The third proportional to 203,043 and 298,678.50 is: 439,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,043 : 298,678.50 = 298,678.50 : x
  2. Step 2: Convert to fraction form
    203,043/298,678.50 = 298,678.50/x
  3. Step 3: Cross multiply
    203,043x = 298,678.50 × 298,678.50
  4. Step 4: Simplify right side
    203,043x = 89,208,846,362.25
  5. Step 5: Solve for x
    x = 89,208,846,362.25/203,043
  6. Step 6: Final answer
    x = 439,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.