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Finding the Third Proportional to 443,187.75 and 728,119.50

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Solution

The third proportional to 443,187.75 and 728,119.50 is: 1,196,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,187.75 : 728,119.50 = 728,119.50 : x
  2. Step 2: Convert to fraction form
    443,187.75/728,119.50 = 728,119.50/x
  3. Step 3: Cross multiply
    443,187.75x = 728,119.50 × 728,119.50
  4. Step 4: Simplify right side
    443,187.75x = 530,158,006,280.25
  5. Step 5: Solve for x
    x = 530,158,006,280.25/443,187.75
  6. Step 6: Final answer
    x = 1,196,237.95

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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.