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Finding the Third Proportional to 325,838 and 721,660

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Solution

The third proportional to 325,838 and 721,660 is: 1,598,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,838 : 721,660 = 721,660 : x
  2. Step 2: Convert to fraction form
    325,838/721,660 = 721,660/x
  3. Step 3: Cross multiply
    325,838x = 721,660 × 721,660
  4. Step 4: Simplify right side
    325,838x = 520,793,155,600
  5. Step 5: Solve for x
    x = 520,793,155,600/325,838
  6. Step 6: Final answer
    x = 1,598,319.27

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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.