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Finding the Third Proportional to 208,078 and 313,978

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Solution

The third proportional to 208,078 and 313,978 is: 473,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078 : 313,978 = 313,978 : x
  2. Step 2: Convert to fraction form
    208,078/313,978 = 313,978/x
  3. Step 3: Cross multiply
    208,078x = 313,978 × 313,978
  4. Step 4: Simplify right side
    208,078x = 98,582,184,484
  5. Step 5: Solve for x
    x = 98,582,184,484/208,078
  6. Step 6: Final answer
    x = 473,775.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.