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Finding the Third Proportional to 56,115 and 120,111

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Solution

The third proportional to 56,115 and 120,111 is: 257,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,115 : 120,111 = 120,111 : x
  2. Step 2: Convert to fraction form
    56,115/120,111 = 120,111/x
  3. Step 3: Cross multiply
    56,115x = 120,111 × 120,111
  4. Step 4: Simplify right side
    56,115x = 14,426,652,321
  5. Step 5: Solve for x
    x = 14,426,652,321/56,115
  6. Step 6: Final answer
    x = 257,090.84

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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.