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Finding the Third Proportional to 128,783.25 and 269,321.63

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Solution

The third proportional to 128,783.25 and 269,321.63 is: 563,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,783.25 : 269,321.63 = 269,321.63 : x
  2. Step 2: Convert to fraction form
    128,783.25/269,321.63 = 269,321.63/x
  3. Step 3: Cross multiply
    128,783.25x = 269,321.63 × 269,321.63
  4. Step 4: Simplify right side
    128,783.25x = 72,534,137,692.64
  5. Step 5: Solve for x
    x = 72,534,137,692.64/128,783.25
  6. Step 6: Final answer
    x = 563,226.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.