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Finding the Third Proportional to 127,643.63 and 211,998.38

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Solution

The third proportional to 127,643.63 and 211,998.38 is: 352,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,643.63 : 211,998.38 = 211,998.38 : x
  2. Step 2: Convert to fraction form
    127,643.63/211,998.38 = 211,998.38/x
  3. Step 3: Cross multiply
    127,643.63x = 211,998.38 × 211,998.38
  4. Step 4: Simplify right side
    127,643.63x = 44,943,311,002.64
  5. Step 5: Solve for x
    x = 44,943,311,002.64/127,643.63
  6. Step 6: Final answer
    x = 352,099.93

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.