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Finding the Third Proportional to 151,128 and 211,828

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Solution

The third proportional to 151,128 and 211,828 is: 296,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,128 : 211,828 = 211,828 : x
  2. Step 2: Convert to fraction form
    151,128/211,828 = 211,828/x
  3. Step 3: Cross multiply
    151,128x = 211,828 × 211,828
  4. Step 4: Simplify right side
    151,128x = 44,871,101,584
  5. Step 5: Solve for x
    x = 44,871,101,584/151,128
  6. Step 6: Final answer
    x = 296,907.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.