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Finding the Third Proportional to 56,174 and 122,899

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Solution

The third proportional to 56,174 and 122,899 is: 268,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,174 : 122,899 = 122,899 : x
  2. Step 2: Convert to fraction form
    56,174/122,899 = 122,899/x
  3. Step 3: Cross multiply
    56,174x = 122,899 × 122,899
  4. Step 4: Simplify right side
    56,174x = 15,104,164,201
  5. Step 5: Solve for x
    x = 15,104,164,201/56,174
  6. Step 6: Final answer
    x = 268,881.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.