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Finding the Third Proportional to 64,835.44 and 139,671.84

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Solution

The third proportional to 64,835.44 and 139,671.84 is: 300,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,835.44 : 139,671.84 = 139,671.84 : x
  2. Step 2: Convert to fraction form
    64,835.44/139,671.84 = 139,671.84/x
  3. Step 3: Cross multiply
    64,835.44x = 139,671.84 × 139,671.84
  4. Step 4: Simplify right side
    64,835.44x = 19,508,223,936.52
  5. Step 5: Solve for x
    x = 19,508,223,936.52/64,835.44
  6. Step 6: Final answer
    x = 300,888.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.