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Finding the Third Proportional to 326,416 and 712,736

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Solution

The third proportional to 326,416 and 712,736 is: 1,556,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,416 : 712,736 = 712,736 : x
  2. Step 2: Convert to fraction form
    326,416/712,736 = 712,736/x
  3. Step 3: Cross multiply
    326,416x = 712,736 × 712,736
  4. Step 4: Simplify right side
    326,416x = 507,992,605,696
  5. Step 5: Solve for x
    x = 507,992,605,696/326,416
  6. Step 6: Final answer
    x = 1,556,273.61

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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.