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Finding the Third Proportional to 324,630 and 708,309

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Solution

The third proportional to 324,630 and 708,309 is: 1,545,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,630 : 708,309 = 708,309 : x
  2. Step 2: Convert to fraction form
    324,630/708,309 = 708,309/x
  3. Step 3: Cross multiply
    324,630x = 708,309 × 708,309
  4. Step 4: Simplify right side
    324,630x = 501,701,639,481
  5. Step 5: Solve for x
    x = 501,701,639,481/324,630
  6. Step 6: Final answer
    x = 1,545,456.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.