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Finding the Third Proportional to 125,128 and 188,772

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Solution

The third proportional to 125,128 and 188,772 is: 284,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,128 : 188,772 = 188,772 : x
  2. Step 2: Convert to fraction form
    125,128/188,772 = 188,772/x
  3. Step 3: Cross multiply
    125,128x = 188,772 × 188,772
  4. Step 4: Simplify right side
    125,128x = 35,634,867,984
  5. Step 5: Solve for x
    x = 35,634,867,984/125,128
  6. Step 6: Final answer
    x = 284,787.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.