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Finding the Third Proportional to 128,968 and 289,680

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Solution

The third proportional to 128,968 and 289,680 is: 650,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,968 : 289,680 = 289,680 : x
  2. Step 2: Convert to fraction form
    128,968/289,680 = 289,680/x
  3. Step 3: Cross multiply
    128,968x = 289,680 × 289,680
  4. Step 4: Simplify right side
    128,968x = 83,914,502,400
  5. Step 5: Solve for x
    x = 83,914,502,400/128,968
  6. Step 6: Final answer
    x = 650,661.42

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.