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Finding the Third Proportional to 69,996 and 149,388

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Solution

The third proportional to 69,996 and 149,388 is: 318,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,996 : 149,388 = 149,388 : x
  2. Step 2: Convert to fraction form
    69,996/149,388 = 149,388/x
  3. Step 3: Cross multiply
    69,996x = 149,388 × 149,388
  4. Step 4: Simplify right side
    69,996x = 22,316,774,544
  5. Step 5: Solve for x
    x = 22,316,774,544/69,996
  6. Step 6: Final answer
    x = 318,829.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.