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Finding the Third Proportional to 289,238.34 and 443,699.02

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Solution

The third proportional to 289,238.34 and 443,699.02 is: 680,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,238.34 : 443,699.02 = 443,699.02 : x
  2. Step 2: Convert to fraction form
    289,238.34/443,699.02 = 443,699.02/x
  3. Step 3: Cross multiply
    289,238.34x = 443,699.02 × 443,699.02
  4. Step 4: Simplify right side
    289,238.34x = 196,868,816,466.59
  5. Step 5: Solve for x
    x = 196,868,816,466.59/289,238.34
  6. Step 6: Final answer
    x = 680,645.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.