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Finding the Third Proportional to 68,945.06 and 148,968.56

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Solution

The third proportional to 68,945.06 and 148,968.56 is: 321,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,945.06 : 148,968.56 = 148,968.56 : x
  2. Step 2: Convert to fraction form
    68,945.06/148,968.56 = 148,968.56/x
  3. Step 3: Cross multiply
    68,945.06x = 148,968.56 × 148,968.56
  4. Step 4: Simplify right side
    68,945.06x = 22,191,632,613.32
  5. Step 5: Solve for x
    x = 22,191,632,613.32/68,945.06
  6. Step 6: Final answer
    x = 321,874.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.