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Finding the Third Proportional to 75,330 and 110,690

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Solution

The third proportional to 75,330 and 110,690 is: 162,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 110,690 = 110,690 : x
  2. Step 2: Convert to fraction form
    75,330/110,690 = 110,690/x
  3. Step 3: Cross multiply
    75,330x = 110,690 × 110,690
  4. Step 4: Simplify right side
    75,330x = 12,252,276,100
  5. Step 5: Solve for x
    x = 12,252,276,100/75,330
  6. Step 6: Final answer
    x = 162,648.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.