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Finding the Third Proportional to 54,337 and 83,120

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Solution

The third proportional to 54,337 and 83,120 is: 127,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,337 : 83,120 = 83,120 : x
  2. Step 2: Convert to fraction form
    54,337/83,120 = 83,120/x
  3. Step 3: Cross multiply
    54,337x = 83,120 × 83,120
  4. Step 4: Simplify right side
    54,337x = 6,908,934,400
  5. Step 5: Solve for x
    x = 6,908,934,400/54,337
  6. Step 6: Final answer
    x = 127,149.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.