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Finding the Third Proportional to 55,782 and 120,312

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Solution

The third proportional to 55,782 and 120,312 is: 259,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782 : 120,312 = 120,312 : x
  2. Step 2: Convert to fraction form
    55,782/120,312 = 120,312/x
  3. Step 3: Cross multiply
    55,782x = 120,312 × 120,312
  4. Step 4: Simplify right side
    55,782x = 14,474,977,344
  5. Step 5: Solve for x
    x = 14,474,977,344/55,782
  6. Step 6: Final answer
    x = 259,491.90

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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.