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Finding the Third Proportional to 325,948 and 721,880

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Solution

The third proportional to 325,948 and 721,880 is: 1,598,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,948 : 721,880 = 721,880 : x
  2. Step 2: Convert to fraction form
    325,948/721,880 = 721,880/x
  3. Step 3: Cross multiply
    325,948x = 721,880 × 721,880
  4. Step 4: Simplify right side
    325,948x = 521,110,734,400
  5. Step 5: Solve for x
    x = 521,110,734,400/325,948
  6. Step 6: Final answer
    x = 1,598,754.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.