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Finding the Third Proportional to 145,456 and 317,192

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Solution

The third proportional to 145,456 and 317,192 is: 691,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456 : 317,192 = 317,192 : x
  2. Step 2: Convert to fraction form
    145,456/317,192 = 317,192/x
  3. Step 3: Cross multiply
    145,456x = 317,192 × 317,192
  4. Step 4: Simplify right side
    145,456x = 100,610,764,864
  5. Step 5: Solve for x
    x = 100,610,764,864/145,456
  6. Step 6: Final answer
    x = 691,692.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.