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Finding the Third Proportional to 42,596 and 66,685

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Solution

The third proportional to 42,596 and 66,685 is: 104,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,596 : 66,685 = 66,685 : x
  2. Step 2: Convert to fraction form
    42,596/66,685 = 66,685/x
  3. Step 3: Cross multiply
    42,596x = 66,685 × 66,685
  4. Step 4: Simplify right side
    42,596x = 4,446,889,225
  5. Step 5: Solve for x
    x = 4,446,889,225/42,596
  6. Step 6: Final answer
    x = 104,396.87

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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.