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Finding the Third Proportional to 147,960 and 321,057

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Solution

The third proportional to 147,960 and 321,057 is: 696,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,960 : 321,057 = 321,057 : x
  2. Step 2: Convert to fraction form
    147,960/321,057 = 321,057/x
  3. Step 3: Cross multiply
    147,960x = 321,057 × 321,057
  4. Step 4: Simplify right side
    147,960x = 103,077,597,249
  5. Step 5: Solve for x
    x = 103,077,597,249/147,960
  6. Step 6: Final answer
    x = 696,658.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.