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Finding the Third Proportional to 298,938 and 498,229

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Solution

The third proportional to 298,938 and 498,229 is: 830,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,938 : 498,229 = 498,229 : x
  2. Step 2: Convert to fraction form
    298,938/498,229 = 498,229/x
  3. Step 3: Cross multiply
    298,938x = 498,229 × 498,229
  4. Step 4: Simplify right side
    298,938x = 248,232,136,441
  5. Step 5: Solve for x
    x = 248,232,136,441/298,938
  6. Step 6: Final answer
    x = 830,380.00

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Why These Related Problems?

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