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Finding the Third Proportional to 112,689 and 174,399

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Solution

The third proportional to 112,689 and 174,399 is: 269,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,689 : 174,399 = 174,399 : x
  2. Step 2: Convert to fraction form
    112,689/174,399 = 174,399/x
  3. Step 3: Cross multiply
    112,689x = 174,399 × 174,399
  4. Step 4: Simplify right side
    112,689x = 30,415,011,201
  5. Step 5: Solve for x
    x = 30,415,011,201/112,689
  6. Step 6: Final answer
    x = 269,902.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.