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Finding the Third Proportional to 117,978 and 254,724

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Solution

The third proportional to 117,978 and 254,724 is: 549,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,978 : 254,724 = 254,724 : x
  2. Step 2: Convert to fraction form
    117,978/254,724 = 254,724/x
  3. Step 3: Cross multiply
    117,978x = 254,724 × 254,724
  4. Step 4: Simplify right side
    117,978x = 64,884,316,176
  5. Step 5: Solve for x
    x = 64,884,316,176/117,978
  6. Step 6: Final answer
    x = 549,969.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.