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Finding the Third Proportional to 56,339 and 120,676

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Solution

The third proportional to 56,339 and 120,676 is: 258,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,339 : 120,676 = 120,676 : x
  2. Step 2: Convert to fraction form
    56,339/120,676 = 120,676/x
  3. Step 3: Cross multiply
    56,339x = 120,676 × 120,676
  4. Step 4: Simplify right side
    56,339x = 14,562,696,976
  5. Step 5: Solve for x
    x = 14,562,696,976/56,339
  6. Step 6: Final answer
    x = 258,483.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.