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Finding the Third Proportional to 57,370 and 77,286

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Solution

The third proportional to 57,370 and 77,286 is: 104,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,370 : 77,286 = 77,286 : x
  2. Step 2: Convert to fraction form
    57,370/77,286 = 77,286/x
  3. Step 3: Cross multiply
    57,370x = 77,286 × 77,286
  4. Step 4: Simplify right side
    57,370x = 5,973,125,796
  5. Step 5: Solve for x
    x = 5,973,125,796/57,370
  6. Step 6: Final answer
    x = 104,115.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.