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Finding the Third Proportional to 117,848 and 254,369.50

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Solution

The third proportional to 117,848 and 254,369.50 is: 549,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,848 : 254,369.50 = 254,369.50 : x
  2. Step 2: Convert to fraction form
    117,848/254,369.50 = 254,369.50/x
  3. Step 3: Cross multiply
    117,848x = 254,369.50 × 254,369.50
  4. Step 4: Simplify right side
    117,848x = 64,703,842,530.25
  5. Step 5: Solve for x
    x = 64,703,842,530.25/117,848
  6. Step 6: Final answer
    x = 549,044.89

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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.