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Finding the Third Proportional to 56,021.50 and 120,539

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Solution

The third proportional to 56,021.50 and 120,539 is: 259,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,021.50 : 120,539 = 120,539 : x
  2. Step 2: Convert to fraction form
    56,021.50/120,539 = 120,539/x
  3. Step 3: Cross multiply
    56,021.50x = 120,539 × 120,539
  4. Step 4: Simplify right side
    56,021.50x = 14,529,650,521
  5. Step 5: Solve for x
    x = 14,529,650,521/56,021.50
  6. Step 6: Final answer
    x = 259,358.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.