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Finding the Third Proportional to 189,991 and 296,489

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Solution

The third proportional to 189,991 and 296,489 is: 462,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,991 : 296,489 = 296,489 : x
  2. Step 2: Convert to fraction form
    189,991/296,489 = 296,489/x
  3. Step 3: Cross multiply
    189,991x = 296,489 × 296,489
  4. Step 4: Simplify right side
    189,991x = 87,905,727,121
  5. Step 5: Solve for x
    x = 87,905,727,121/189,991
  6. Step 6: Final answer
    x = 462,683.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.