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Finding the Third Proportional to 54,140 and 85,047

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Solution

The third proportional to 54,140 and 85,047 is: 133,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140 : 85,047 = 85,047 : x
  2. Step 2: Convert to fraction form
    54,140/85,047 = 85,047/x
  3. Step 3: Cross multiply
    54,140x = 85,047 × 85,047
  4. Step 4: Simplify right side
    54,140x = 7,232,992,209
  5. Step 5: Solve for x
    x = 7,232,992,209/54,140
  6. Step 6: Final answer
    x = 133,597.94

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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.