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Finding the Third Proportional to 128,960 and 182,640

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Solution

The third proportional to 128,960 and 182,640 is: 258,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,960 : 182,640 = 182,640 : x
  2. Step 2: Convert to fraction form
    128,960/182,640 = 182,640/x
  3. Step 3: Cross multiply
    128,960x = 182,640 × 182,640
  4. Step 4: Simplify right side
    128,960x = 33,357,369,600
  5. Step 5: Solve for x
    x = 33,357,369,600/128,960
  6. Step 6: Final answer
    x = 258,664.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.