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Finding the Third Proportional to 324,113 and 490,641

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Solution

The third proportional to 324,113 and 490,641 is: 742,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,113 : 490,641 = 490,641 : x
  2. Step 2: Convert to fraction form
    324,113/490,641 = 490,641/x
  3. Step 3: Cross multiply
    324,113x = 490,641 × 490,641
  4. Step 4: Simplify right side
    324,113x = 240,728,590,881
  5. Step 5: Solve for x
    x = 240,728,590,881/324,113
  6. Step 6: Final answer
    x = 742,730.44

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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.