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Finding the Third Proportional to 56,139 and 85,119

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Solution

The third proportional to 56,139 and 85,119 is: 129,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,139 : 85,119 = 85,119 : x
  2. Step 2: Convert to fraction form
    56,139/85,119 = 85,119/x
  3. Step 3: Cross multiply
    56,139x = 85,119 × 85,119
  4. Step 4: Simplify right side
    56,139x = 7,245,244,161
  5. Step 5: Solve for x
    x = 7,245,244,161/56,139
  6. Step 6: Final answer
    x = 129,059.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.