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Finding the Third Proportional to 189,383 and 438,465

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Solution

The third proportional to 189,383 and 438,465 is: 1,015,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,383 : 438,465 = 438,465 : x
  2. Step 2: Convert to fraction form
    189,383/438,465 = 438,465/x
  3. Step 3: Cross multiply
    189,383x = 438,465 × 438,465
  4. Step 4: Simplify right side
    189,383x = 192,251,556,225
  5. Step 5: Solve for x
    x = 192,251,556,225/189,383
  6. Step 6: Final answer
    x = 1,015,146.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.