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Finding the Third Proportional to 68,638.64 and 140,622.33

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Solution

The third proportional to 68,638.64 and 140,622.33 is: 288,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,638.64 : 140,622.33 = 140,622.33 : x
  2. Step 2: Convert to fraction form
    68,638.64/140,622.33 = 140,622.33/x
  3. Step 3: Cross multiply
    68,638.64x = 140,622.33 × 140,622.33
  4. Step 4: Simplify right side
    68,638.64x = 19,774,639,167.30
  5. Step 5: Solve for x
    x = 19,774,639,167.30/68,638.64
  6. Step 6: Final answer
    x = 288,097.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.