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Finding the Third Proportional to 82,878 and 181,430

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Solution

The third proportional to 82,878 and 181,430 is: 397,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878 : 181,430 = 181,430 : x
  2. Step 2: Convert to fraction form
    82,878/181,430 = 181,430/x
  3. Step 3: Cross multiply
    82,878x = 181,430 × 181,430
  4. Step 4: Simplify right side
    82,878x = 32,916,844,900
  5. Step 5: Solve for x
    x = 32,916,844,900/82,878
  6. Step 6: Final answer
    x = 397,172.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.