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Finding the Third Proportional to 323,712 and 660,276

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Solution

The third proportional to 323,712 and 660,276 is: 1,346,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,712 : 660,276 = 660,276 : x
  2. Step 2: Convert to fraction form
    323,712/660,276 = 660,276/x
  3. Step 3: Cross multiply
    323,712x = 660,276 × 660,276
  4. Step 4: Simplify right side
    323,712x = 435,964,396,176
  5. Step 5: Solve for x
    x = 435,964,396,176/323,712
  6. Step 6: Final answer
    x = 1,346,766.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.