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Finding the Third Proportional to 56,178 and 85,416.75

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Solution

The third proportional to 56,178 and 85,416.75 is: 129,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178 : 85,416.75 = 85,416.75 : x
  2. Step 2: Convert to fraction form
    56,178/85,416.75 = 85,416.75/x
  3. Step 3: Cross multiply
    56,178x = 85,416.75 × 85,416.75
  4. Step 4: Simplify right side
    56,178x = 7,296,021,180.56
  5. Step 5: Solve for x
    x = 7,296,021,180.56/56,178
  6. Step 6: Final answer
    x = 129,873.28

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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.