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Finding the Third Proportional to 84,678 and 180,210

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Solution

The third proportional to 84,678 and 180,210 is: 383,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,678 : 180,210 = 180,210 : x
  2. Step 2: Convert to fraction form
    84,678/180,210 = 180,210/x
  3. Step 3: Cross multiply
    84,678x = 180,210 × 180,210
  4. Step 4: Simplify right side
    84,678x = 32,475,644,100
  5. Step 5: Solve for x
    x = 32,475,644,100/84,678
  6. Step 6: Final answer
    x = 383,519.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.