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Finding the Third Proportional to 189,918 and 300,733

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Solution

The third proportional to 189,918 and 300,733 is: 476,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,918 : 300,733 = 300,733 : x
  2. Step 2: Convert to fraction form
    189,918/300,733 = 300,733/x
  3. Step 3: Cross multiply
    189,918x = 300,733 × 300,733
  4. Step 4: Simplify right side
    189,918x = 90,440,337,289
  5. Step 5: Solve for x
    x = 90,440,337,289/189,918
  6. Step 6: Final answer
    x = 476,207.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.