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Finding the Third Proportional to 69,115 and 148,058

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Solution

The third proportional to 69,115 and 148,058 is: 317,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115 : 148,058 = 148,058 : x
  2. Step 2: Convert to fraction form
    69,115/148,058 = 148,058/x
  3. Step 3: Cross multiply
    69,115x = 148,058 × 148,058
  4. Step 4: Simplify right side
    69,115x = 21,921,171,364
  5. Step 5: Solve for x
    x = 21,921,171,364/69,115
  6. Step 6: Final answer
    x = 317,169.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.