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Finding the Third Proportional to 306,818 and 717,189

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Solution

The third proportional to 306,818 and 717,189 is: 1,676,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,818 : 717,189 = 717,189 : x
  2. Step 2: Convert to fraction form
    306,818/717,189 = 717,189/x
  3. Step 3: Cross multiply
    306,818x = 717,189 × 717,189
  4. Step 4: Simplify right side
    306,818x = 514,360,061,721
  5. Step 5: Solve for x
    x = 514,360,061,721/306,818
  6. Step 6: Final answer
    x = 1,676,433.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.