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Finding the Third Proportional to 133,396 and 314,889

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Solution

The third proportional to 133,396 and 314,889 is: 743,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396 : 314,889 = 314,889 : x
  2. Step 2: Convert to fraction form
    133,396/314,889 = 314,889/x
  3. Step 3: Cross multiply
    133,396x = 314,889 × 314,889
  4. Step 4: Simplify right side
    133,396x = 99,155,082,321
  5. Step 5: Solve for x
    x = 99,155,082,321/133,396
  6. Step 6: Final answer
    x = 743,313.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.