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Finding the Third Proportional to 189,602.63 and 405,449.25

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Solution

The third proportional to 189,602.63 and 405,449.25 is: 867,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,602.63 : 405,449.25 = 405,449.25 : x
  2. Step 2: Convert to fraction form
    189,602.63/405,449.25 = 405,449.25/x
  3. Step 3: Cross multiply
    189,602.63x = 405,449.25 × 405,449.25
  4. Step 4: Simplify right side
    189,602.63x = 164,389,094,325.56
  5. Step 5: Solve for x
    x = 164,389,094,325.56/189,602.63
  6. Step 6: Final answer
    x = 867,019.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.