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Finding the Third Proportional to 199,572 and 443,485.50

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Solution

The third proportional to 199,572 and 443,485.50 is: 985,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,572 : 443,485.50 = 443,485.50 : x
  2. Step 2: Convert to fraction form
    199,572/443,485.50 = 443,485.50/x
  3. Step 3: Cross multiply
    199,572x = 443,485.50 × 443,485.50
  4. Step 4: Simplify right side
    199,572x = 196,679,388,710.25
  5. Step 5: Solve for x
    x = 196,679,388,710.25/199,572
  6. Step 6: Final answer
    x = 985,505.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.