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Finding the Third Proportional to 289,640.81 and 443,080.13

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Solution

The third proportional to 289,640.81 and 443,080.13 is: 677,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,640.81 : 443,080.13 = 443,080.13 : x
  2. Step 2: Convert to fraction form
    289,640.81/443,080.13 = 443,080.13/x
  3. Step 3: Cross multiply
    289,640.81x = 443,080.13 × 443,080.13
  4. Step 4: Simplify right side
    289,640.81x = 196,319,997,170.02
  5. Step 5: Solve for x
    x = 196,319,997,170.02/289,640.81
  6. Step 6: Final answer
    x = 677,805.02

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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.