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Finding the Third Proportional to 189,180 and 282,128

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Solution

The third proportional to 189,180 and 282,128 is: 420,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,180 : 282,128 = 282,128 : x
  2. Step 2: Convert to fraction form
    189,180/282,128 = 282,128/x
  3. Step 3: Cross multiply
    189,180x = 282,128 × 282,128
  4. Step 4: Simplify right side
    189,180x = 79,596,208,384
  5. Step 5: Solve for x
    x = 79,596,208,384/189,180
  6. Step 6: Final answer
    x = 420,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.