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Finding the Third Proportional to 330,803 and 717,619

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Solution

The third proportional to 330,803 and 717,619 is: 1,556,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,803 : 717,619 = 717,619 : x
  2. Step 2: Convert to fraction form
    330,803/717,619 = 717,619/x
  3. Step 3: Cross multiply
    330,803x = 717,619 × 717,619
  4. Step 4: Simplify right side
    330,803x = 514,977,029,161
  5. Step 5: Solve for x
    x = 514,977,029,161/330,803
  6. Step 6: Final answer
    x = 1,556,748.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.