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Finding the Third Proportional to 57,500 and 77,278

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Solution

The third proportional to 57,500 and 77,278 is: 103,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,500 : 77,278 = 77,278 : x
  2. Step 2: Convert to fraction form
    57,500/77,278 = 77,278/x
  3. Step 3: Cross multiply
    57,500x = 77,278 × 77,278
  4. Step 4: Simplify right side
    57,500x = 5,971,889,284
  5. Step 5: Solve for x
    x = 5,971,889,284/57,500
  6. Step 6: Final answer
    x = 103,858.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.