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Finding the Third Proportional to 323,742 and 490,128

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Solution

The third proportional to 323,742 and 490,128 is: 742,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,742 : 490,128 = 490,128 : x
  2. Step 2: Convert to fraction form
    323,742/490,128 = 490,128/x
  3. Step 3: Cross multiply
    323,742x = 490,128 × 490,128
  4. Step 4: Simplify right side
    323,742x = 240,225,456,384
  5. Step 5: Solve for x
    x = 240,225,456,384/323,742
  6. Step 6: Final answer
    x = 742,027.47

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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.