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Finding the Third Proportional to 64,983 and 135,073.50

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Solution

The third proportional to 64,983 and 135,073.50 is: 280,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983 : 135,073.50 = 135,073.50 : x
  2. Step 2: Convert to fraction form
    64,983/135,073.50 = 135,073.50/x
  3. Step 3: Cross multiply
    64,983x = 135,073.50 × 135,073.50
  4. Step 4: Simplify right side
    64,983x = 18,244,850,402.25
  5. Step 5: Solve for x
    x = 18,244,850,402.25/64,983
  6. Step 6: Final answer
    x = 280,763.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.