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Finding the Third Proportional to 54,402 and 84,072

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Solution

The third proportional to 54,402 and 84,072 is: 129,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,402 : 84,072 = 84,072 : x
  2. Step 2: Convert to fraction form
    54,402/84,072 = 84,072/x
  3. Step 3: Cross multiply
    54,402x = 84,072 × 84,072
  4. Step 4: Simplify right side
    54,402x = 7,068,101,184
  5. Step 5: Solve for x
    x = 7,068,101,184/54,402
  6. Step 6: Final answer
    x = 129,923.55

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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.