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Finding the Third Proportional to 75,172 and 118,942

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Solution

The third proportional to 75,172 and 118,942 is: 188,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172 : 118,942 = 118,942 : x
  2. Step 2: Convert to fraction form
    75,172/118,942 = 118,942/x
  3. Step 3: Cross multiply
    75,172x = 118,942 × 118,942
  4. Step 4: Simplify right side
    75,172x = 14,147,199,364
  5. Step 5: Solve for x
    x = 14,147,199,364/75,172
  6. Step 6: Final answer
    x = 188,197.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.