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Finding the Third Proportional to 69,138 and 148,786

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Solution

The third proportional to 69,138 and 148,786 is: 320,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138 : 148,786 = 148,786 : x
  2. Step 2: Convert to fraction form
    69,138/148,786 = 148,786/x
  3. Step 3: Cross multiply
    69,138x = 148,786 × 148,786
  4. Step 4: Simplify right side
    69,138x = 22,137,273,796
  5. Step 5: Solve for x
    x = 22,137,273,796/69,138
  6. Step 6: Final answer
    x = 320,189.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.