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Finding the Third Proportional to 147,325 and 321,639

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Solution

The third proportional to 147,325 and 321,639 is: 702,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,325 : 321,639 = 321,639 : x
  2. Step 2: Convert to fraction form
    147,325/321,639 = 321,639/x
  3. Step 3: Cross multiply
    147,325x = 321,639 × 321,639
  4. Step 4: Simplify right side
    147,325x = 103,451,646,321
  5. Step 5: Solve for x
    x = 103,451,646,321/147,325
  6. Step 6: Final answer
    x = 702,200.21

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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.