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Finding the Third Proportional to 102,756 and 161,235

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Solution

The third proportional to 102,756 and 161,235 is: 252,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,756 : 161,235 = 161,235 : x
  2. Step 2: Convert to fraction form
    102,756/161,235 = 161,235/x
  3. Step 3: Cross multiply
    102,756x = 161,235 × 161,235
  4. Step 4: Simplify right side
    102,756x = 25,996,725,225
  5. Step 5: Solve for x
    x = 25,996,725,225/102,756
  6. Step 6: Final answer
    x = 252,994.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.