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Finding the Third Proportional to 323,688 and 490,029

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Solution

The third proportional to 323,688 and 490,029 is: 741,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,688 : 490,029 = 490,029 : x
  2. Step 2: Convert to fraction form
    323,688/490,029 = 490,029/x
  3. Step 3: Cross multiply
    323,688x = 490,029 × 490,029
  4. Step 4: Simplify right side
    323,688x = 240,128,420,841
  5. Step 5: Solve for x
    x = 240,128,420,841/323,688
  6. Step 6: Final answer
    x = 741,851.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.