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Finding the Third Proportional to 68,036 and 146,488

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Solution

The third proportional to 68,036 and 146,488 is: 315,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,036 : 146,488 = 146,488 : x
  2. Step 2: Convert to fraction form
    68,036/146,488 = 146,488/x
  3. Step 3: Cross multiply
    68,036x = 146,488 × 146,488
  4. Step 4: Simplify right side
    68,036x = 21,458,734,144
  5. Step 5: Solve for x
    x = 21,458,734,144/68,036
  6. Step 6: Final answer
    x = 315,402.64

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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.