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Finding the Third Proportional to 330,796.50 and 717,605

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Solution

The third proportional to 330,796.50 and 717,605 is: 1,556,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,796.50 : 717,605 = 717,605 : x
  2. Step 2: Convert to fraction form
    330,796.50/717,605 = 717,605/x
  3. Step 3: Cross multiply
    330,796.50x = 717,605 × 717,605
  4. Step 4: Simplify right side
    330,796.50x = 514,956,936,025
  5. Step 5: Solve for x
    x = 514,956,936,025/330,796.50
  6. Step 6: Final answer
    x = 1,556,718.21

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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.