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Finding the Third Proportional to 208,978 and 493,237

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Solution

The third proportional to 208,978 and 493,237 is: 1,164,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978 : 493,237 = 493,237 : x
  2. Step 2: Convert to fraction form
    208,978/493,237 = 493,237/x
  3. Step 3: Cross multiply
    208,978x = 493,237 × 493,237
  4. Step 4: Simplify right side
    208,978x = 243,282,738,169
  5. Step 5: Solve for x
    x = 243,282,738,169/208,978
  6. Step 6: Final answer
    x = 1,164,154.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.