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Finding the Third Proportional to 412,600 and 556,692

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Solution

The third proportional to 412,600 and 556,692 is: 751,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,600 : 556,692 = 556,692 : x
  2. Step 2: Convert to fraction form
    412,600/556,692 = 556,692/x
  3. Step 3: Cross multiply
    412,600x = 556,692 × 556,692
  4. Step 4: Simplify right side
    412,600x = 309,905,982,864
  5. Step 5: Solve for x
    x = 309,905,982,864/412,600
  6. Step 6: Final answer
    x = 751,105.15

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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.