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Finding the Third Proportional to 84,420 and 181,260

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Solution

The third proportional to 84,420 and 181,260 is: 389,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,420 : 181,260 = 181,260 : x
  2. Step 2: Convert to fraction form
    84,420/181,260 = 181,260/x
  3. Step 3: Cross multiply
    84,420x = 181,260 × 181,260
  4. Step 4: Simplify right side
    84,420x = 32,855,187,600
  5. Step 5: Solve for x
    x = 32,855,187,600/84,420
  6. Step 6: Final answer
    x = 389,187.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.