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Finding the Third Proportional to 64,998.84 and 139,698.84

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Solution

The third proportional to 64,998.84 and 139,698.84 is: 300,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,998.84 : 139,698.84 = 139,698.84 : x
  2. Step 2: Convert to fraction form
    64,998.84/139,698.84 = 139,698.84/x
  3. Step 3: Cross multiply
    64,998.84x = 139,698.84 × 139,698.84
  4. Step 4: Simplify right side
    64,998.84x = 19,515,766,945.09
  5. Step 5: Solve for x
    x = 19,515,766,945.09/64,998.84
  6. Step 6: Final answer
    x = 300,247.91

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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.