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Finding the Third Proportional to 324,124 and 490,658

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Solution

The third proportional to 324,124 and 490,658 is: 742,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,124 : 490,658 = 490,658 : x
  2. Step 2: Convert to fraction form
    324,124/490,658 = 490,658/x
  3. Step 3: Cross multiply
    324,124x = 490,658 × 490,658
  4. Step 4: Simplify right side
    324,124x = 240,745,272,964
  5. Step 5: Solve for x
    x = 240,745,272,964/324,124
  6. Step 6: Final answer
    x = 742,756.70

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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.