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Finding the Third Proportional to 132,165 and 257,679

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Solution

The third proportional to 132,165 and 257,679 is: 502,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,165 : 257,679 = 257,679 : x
  2. Step 2: Convert to fraction form
    132,165/257,679 = 257,679/x
  3. Step 3: Cross multiply
    132,165x = 257,679 × 257,679
  4. Step 4: Simplify right side
    132,165x = 66,398,467,041
  5. Step 5: Solve for x
    x = 66,398,467,041/132,165
  6. Step 6: Final answer
    x = 502,390.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.