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Finding the Third Proportional to 56,818 and 85,191

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Solution

The third proportional to 56,818 and 85,191 is: 127,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,818 : 85,191 = 85,191 : x
  2. Step 2: Convert to fraction form
    56,818/85,191 = 85,191/x
  3. Step 3: Cross multiply
    56,818x = 85,191 × 85,191
  4. Step 4: Simplify right side
    56,818x = 7,257,506,481
  5. Step 5: Solve for x
    x = 7,257,506,481/56,818
  6. Step 6: Final answer
    x = 127,732.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.