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Finding the Third Proportional to 189,465 and 405,189

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Solution

The third proportional to 189,465 and 405,189 is: 866,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,465 : 405,189 = 405,189 : x
  2. Step 2: Convert to fraction form
    189,465/405,189 = 405,189/x
  3. Step 3: Cross multiply
    189,465x = 405,189 × 405,189
  4. Step 4: Simplify right side
    189,465x = 164,178,125,721
  5. Step 5: Solve for x
    x = 164,178,125,721/189,465
  6. Step 6: Final answer
    x = 866,535.38

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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.