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Finding the Third Proportional to 56,379 and 120,534

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Solution

The third proportional to 56,379 and 120,534 is: 257,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,379 : 120,534 = 120,534 : x
  2. Step 2: Convert to fraction form
    56,379/120,534 = 120,534/x
  3. Step 3: Cross multiply
    56,379x = 120,534 × 120,534
  4. Step 4: Simplify right side
    56,379x = 14,528,445,156
  5. Step 5: Solve for x
    x = 14,528,445,156/56,379
  6. Step 6: Final answer
    x = 257,692.49

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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.