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Finding the Third Proportional to 321,706.50 and 635,337

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Solution

The third proportional to 321,706.50 and 635,337 is: 1,254,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,706.50 : 635,337 = 635,337 : x
  2. Step 2: Convert to fraction form
    321,706.50/635,337 = 635,337/x
  3. Step 3: Cross multiply
    321,706.50x = 635,337 × 635,337
  4. Step 4: Simplify right side
    321,706.50x = 403,653,103,569
  5. Step 5: Solve for x
    x = 403,653,103,569/321,706.50
  6. Step 6: Final answer
    x = 1,254,724.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.