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Finding the Third Proportional to 82,032 and 178,888

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Solution

The third proportional to 82,032 and 178,888 is: 390,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032 : 178,888 = 178,888 : x
  2. Step 2: Convert to fraction form
    82,032/178,888 = 178,888/x
  3. Step 3: Cross multiply
    82,032x = 178,888 × 178,888
  4. Step 4: Simplify right side
    82,032x = 32,000,916,544
  5. Step 5: Solve for x
    x = 32,000,916,544/82,032
  6. Step 6: Final answer
    x = 390,102.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.