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Finding the Third Proportional to 54,421 and 84,090

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Solution

The third proportional to 54,421 and 84,090 is: 129,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,421 : 84,090 = 84,090 : x
  2. Step 2: Convert to fraction form
    54,421/84,090 = 84,090/x
  3. Step 3: Cross multiply
    54,421x = 84,090 × 84,090
  4. Step 4: Simplify right side
    54,421x = 7,071,128,100
  5. Step 5: Solve for x
    x = 7,071,128,100/54,421
  6. Step 6: Final answer
    x = 129,933.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.