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Finding the Third Proportional to 324,688 and 485,712

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Solution

The third proportional to 324,688 and 485,712 is: 726,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,688 : 485,712 = 485,712 : x
  2. Step 2: Convert to fraction form
    324,688/485,712 = 485,712/x
  3. Step 3: Cross multiply
    324,688x = 485,712 × 485,712
  4. Step 4: Simplify right side
    324,688x = 235,916,146,944
  5. Step 5: Solve for x
    x = 235,916,146,944/324,688
  6. Step 6: Final answer
    x = 726,593.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.