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Finding the Third Proportional to 125,032 and 178,660

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Solution

The third proportional to 125,032 and 178,660 is: 255,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,032 : 178,660 = 178,660 : x
  2. Step 2: Convert to fraction form
    125,032/178,660 = 178,660/x
  3. Step 3: Cross multiply
    125,032x = 178,660 × 178,660
  4. Step 4: Simplify right side
    125,032x = 31,919,395,600
  5. Step 5: Solve for x
    x = 31,919,395,600/125,032
  6. Step 6: Final answer
    x = 255,289.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.