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Finding the Third Proportional to 56,010 and 85,185

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Solution

The third proportional to 56,010 and 85,185 is: 129,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,010 : 85,185 = 85,185 : x
  2. Step 2: Convert to fraction form
    56,010/85,185 = 85,185/x
  3. Step 3: Cross multiply
    56,010x = 85,185 × 85,185
  4. Step 4: Simplify right side
    56,010x = 7,256,484,225
  5. Step 5: Solve for x
    x = 7,256,484,225/56,010
  6. Step 6: Final answer
    x = 129,556.94

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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.