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Finding the Third Proportional to 77,112 and 102,564

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Solution

The third proportional to 77,112 and 102,564 is: 136,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,112 : 102,564 = 102,564 : x
  2. Step 2: Convert to fraction form
    77,112/102,564 = 102,564/x
  3. Step 3: Cross multiply
    77,112x = 102,564 × 102,564
  4. Step 4: Simplify right side
    77,112x = 10,519,374,096
  5. Step 5: Solve for x
    x = 10,519,374,096/77,112
  6. Step 6: Final answer
    x = 136,416.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.