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Finding the Third Proportional to 57,620 and 77,500

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Solution

The third proportional to 57,620 and 77,500 is: 104,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,620 : 77,500 = 77,500 : x
  2. Step 2: Convert to fraction form
    57,620/77,500 = 77,500/x
  3. Step 3: Cross multiply
    57,620x = 77,500 × 77,500
  4. Step 4: Simplify right side
    57,620x = 6,006,250,000
  5. Step 5: Solve for x
    x = 6,006,250,000/57,620
  6. Step 6: Final answer
    x = 104,238.98

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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.