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Finding the Third Proportional to 203,064 and 298,710

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Solution

The third proportional to 203,064 and 298,710 is: 439,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,064 : 298,710 = 298,710 : x
  2. Step 2: Convert to fraction form
    203,064/298,710 = 298,710/x
  3. Step 3: Cross multiply
    203,064x = 298,710 × 298,710
  4. Step 4: Simplify right side
    203,064x = 89,227,664,100
  5. Step 5: Solve for x
    x = 89,227,664,100/203,064
  6. Step 6: Final answer
    x = 439,406.61

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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.