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Finding the Third Proportional to 68,719.50 and 148,653

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Solution

The third proportional to 68,719.50 and 148,653 is: 321,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,719.50 : 148,653 = 148,653 : x
  2. Step 2: Convert to fraction form
    68,719.50/148,653 = 148,653/x
  3. Step 3: Cross multiply
    68,719.50x = 148,653 × 148,653
  4. Step 4: Simplify right side
    68,719.50x = 22,097,714,409
  5. Step 5: Solve for x
    x = 22,097,714,409/68,719.50
  6. Step 6: Final answer
    x = 321,563.96

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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.