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Finding the Third Proportional to 54,143 and 83,329

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Solution

The third proportional to 54,143 and 83,329 is: 128,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,143 : 83,329 = 83,329 : x
  2. Step 2: Convert to fraction form
    54,143/83,329 = 83,329/x
  3. Step 3: Cross multiply
    54,143x = 83,329 × 83,329
  4. Step 4: Simplify right side
    54,143x = 6,943,722,241
  5. Step 5: Solve for x
    x = 6,943,722,241/54,143
  6. Step 6: Final answer
    x = 128,247.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.