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Finding the Third Proportional to 51,512 and 77,700

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Solution

The third proportional to 51,512 and 77,700 is: 117,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,512 : 77,700 = 77,700 : x
  2. Step 2: Convert to fraction form
    51,512/77,700 = 77,700/x
  3. Step 3: Cross multiply
    51,512x = 77,700 × 77,700
  4. Step 4: Simplify right side
    51,512x = 6,037,290,000
  5. Step 5: Solve for x
    x = 6,037,290,000/51,512
  6. Step 6: Final answer
    x = 117,201.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.