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Finding the Third Proportional to 51,419 and 112,685

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Solution

The third proportional to 51,419 and 112,685 is: 246,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,419 : 112,685 = 112,685 : x
  2. Step 2: Convert to fraction form
    51,419/112,685 = 112,685/x
  3. Step 3: Cross multiply
    51,419x = 112,685 × 112,685
  4. Step 4: Simplify right side
    51,419x = 12,697,909,225
  5. Step 5: Solve for x
    x = 12,697,909,225/51,419
  6. Step 6: Final answer
    x = 246,949.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.