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Finding the Third Proportional to 326,388 and 717,012

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Solution

The third proportional to 326,388 and 717,012 is: 1,575,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,388 : 717,012 = 717,012 : x
  2. Step 2: Convert to fraction form
    326,388/717,012 = 717,012/x
  3. Step 3: Cross multiply
    326,388x = 717,012 × 717,012
  4. Step 4: Simplify right side
    326,388x = 514,106,208,144
  5. Step 5: Solve for x
    x = 514,106,208,144/326,388
  6. Step 6: Final answer
    x = 1,575,138.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.