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Finding the Third Proportional to 56,003 and 120,913

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Solution

The third proportional to 56,003 and 120,913 is: 261,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,003 : 120,913 = 120,913 : x
  2. Step 2: Convert to fraction form
    56,003/120,913 = 120,913/x
  3. Step 3: Cross multiply
    56,003x = 120,913 × 120,913
  4. Step 4: Simplify right side
    56,003x = 14,619,953,569
  5. Step 5: Solve for x
    x = 14,619,953,569/56,003
  6. Step 6: Final answer
    x = 261,056.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.