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Finding the Third Proportional to 56,140 and 122,845

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Solution

The third proportional to 56,140 and 122,845 is: 268,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,140 : 122,845 = 122,845 : x
  2. Step 2: Convert to fraction form
    56,140/122,845 = 122,845/x
  3. Step 3: Cross multiply
    56,140x = 122,845 × 122,845
  4. Step 4: Simplify right side
    56,140x = 15,090,894,025
  5. Step 5: Solve for x
    x = 15,090,894,025/56,140
  6. Step 6: Final answer
    x = 268,808.23

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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.