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Finding the Third Proportional to 332,154 and 515,729

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Solution

The third proportional to 332,154 and 515,729 is: 800,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,154 : 515,729 = 515,729 : x
  2. Step 2: Convert to fraction form
    332,154/515,729 = 515,729/x
  3. Step 3: Cross multiply
    332,154x = 515,729 × 515,729
  4. Step 4: Simplify right side
    332,154x = 265,976,401,441
  5. Step 5: Solve for x
    x = 265,976,401,441/332,154
  6. Step 6: Final answer
    x = 800,762.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.