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Finding the Third Proportional to 189,438.75 and 405,146.25

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Solution

The third proportional to 189,438.75 and 405,146.25 is: 866,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,438.75 : 405,146.25 = 405,146.25 : x
  2. Step 2: Convert to fraction form
    189,438.75/405,146.25 = 405,146.25/x
  3. Step 3: Cross multiply
    189,438.75x = 405,146.25 × 405,146.25
  4. Step 4: Simplify right side
    189,438.75x = 164,143,483,889.06
  5. Step 5: Solve for x
    x = 164,143,483,889.06/189,438.75
  6. Step 6: Final answer
    x = 866,472.59

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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.