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Finding the Third Proportional to 46,119 and 101,266.50

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Solution

The third proportional to 46,119 and 101,266.50 is: 222,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,119 : 101,266.50 = 101,266.50 : x
  2. Step 2: Convert to fraction form
    46,119/101,266.50 = 101,266.50/x
  3. Step 3: Cross multiply
    46,119x = 101,266.50 × 101,266.50
  4. Step 4: Simplify right side
    46,119x = 10,254,904,022.25
  5. Step 5: Solve for x
    x = 10,254,904,022.25/46,119
  6. Step 6: Final answer
    x = 222,357.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.