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Finding the Third Proportional to 298,942 and 498,235

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Solution

The third proportional to 298,942 and 498,235 is: 830,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,942 : 498,235 = 498,235 : x
  2. Step 2: Convert to fraction form
    298,942/498,235 = 498,235/x
  3. Step 3: Cross multiply
    298,942x = 498,235 × 498,235
  4. Step 4: Simplify right side
    298,942x = 248,238,115,225
  5. Step 5: Solve for x
    x = 248,238,115,225/298,942
  6. Step 6: Final answer
    x = 830,388.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.