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Finding the Third Proportional to 443,185.50 and 728,115.75

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Solution

The third proportional to 443,185.50 and 728,115.75 is: 1,196,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,185.50 : 728,115.75 = 728,115.75 : x
  2. Step 2: Convert to fraction form
    443,185.50/728,115.75 = 728,115.75/x
  3. Step 3: Cross multiply
    443,185.50x = 728,115.75 × 728,115.75
  4. Step 4: Simplify right side
    443,185.50x = 530,152,545,398.06
  5. Step 5: Solve for x
    x = 530,152,545,398.06/443,185.50
  6. Step 6: Final answer
    x = 1,196,231.70

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.