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Finding the Third Proportional to 53,341 and 128,005

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Solution

The third proportional to 53,341 and 128,005 is: 307,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,341 : 128,005 = 128,005 : x
  2. Step 2: Convert to fraction form
    53,341/128,005 = 128,005/x
  3. Step 3: Cross multiply
    53,341x = 128,005 × 128,005
  4. Step 4: Simplify right side
    53,341x = 16,385,280,025
  5. Step 5: Solve for x
    x = 16,385,280,025/53,341
  6. Step 6: Final answer
    x = 307,179.84

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.