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Finding the Third Proportional to 56,486 and 122,810

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Solution

The third proportional to 56,486 and 122,810 is: 267,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486 : 122,810 = 122,810 : x
  2. Step 2: Convert to fraction form
    56,486/122,810 = 122,810/x
  3. Step 3: Cross multiply
    56,486x = 122,810 × 122,810
  4. Step 4: Simplify right side
    56,486x = 15,082,296,100
  5. Step 5: Solve for x
    x = 15,082,296,100/56,486
  6. Step 6: Final answer
    x = 267,009.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.