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Finding the Third Proportional to 54,203 and 85,140

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Solution

The third proportional to 54,203 and 85,140 is: 133,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,203 : 85,140 = 85,140 : x
  2. Step 2: Convert to fraction form
    54,203/85,140 = 85,140/x
  3. Step 3: Cross multiply
    54,203x = 85,140 × 85,140
  4. Step 4: Simplify right side
    54,203x = 7,248,819,600
  5. Step 5: Solve for x
    x = 7,248,819,600/54,203
  6. Step 6: Final answer
    x = 133,734.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.