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Finding the Third Proportional to 442,861.50 and 705,015

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Solution

The third proportional to 442,861.50 and 705,015 is: 1,122,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,861.50 : 705,015 = 705,015 : x
  2. Step 2: Convert to fraction form
    442,861.50/705,015 = 705,015/x
  3. Step 3: Cross multiply
    442,861.50x = 705,015 × 705,015
  4. Step 4: Simplify right side
    442,861.50x = 497,046,150,225
  5. Step 5: Solve for x
    x = 497,046,150,225/442,861.50
  6. Step 6: Final answer
    x = 1,122,351.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.