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Finding the Third Proportional to 42,600 and 66,690

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Solution

The third proportional to 42,600 and 66,690 is: 104,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,600 : 66,690 = 66,690 : x
  2. Step 2: Convert to fraction form
    42,600/66,690 = 66,690/x
  3. Step 3: Cross multiply
    42,600x = 66,690 × 66,690
  4. Step 4: Simplify right side
    42,600x = 4,447,556,100
  5. Step 5: Solve for x
    x = 4,447,556,100/42,600
  6. Step 6: Final answer
    x = 104,402.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.