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Finding the Third Proportional to 142,385 and 313,192

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Solution

The third proportional to 142,385 and 313,192 is: 688,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,385 : 313,192 = 313,192 : x
  2. Step 2: Convert to fraction form
    142,385/313,192 = 313,192/x
  3. Step 3: Cross multiply
    142,385x = 313,192 × 313,192
  4. Step 4: Simplify right side
    142,385x = 98,089,228,864
  5. Step 5: Solve for x
    x = 98,089,228,864/142,385
  6. Step 6: Final answer
    x = 688,901.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.