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Finding the Third Proportional to 64,120.50 and 140,541.75

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Solution

The third proportional to 64,120.50 and 140,541.75 is: 308,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,120.50 : 140,541.75 = 140,541.75 : x
  2. Step 2: Convert to fraction form
    64,120.50/140,541.75 = 140,541.75/x
  3. Step 3: Cross multiply
    64,120.50x = 140,541.75 × 140,541.75
  4. Step 4: Simplify right side
    64,120.50x = 19,751,983,493.06
  5. Step 5: Solve for x
    x = 19,751,983,493.06/64,120.50
  6. Step 6: Final answer
    x = 308,044.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.