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Finding the Third Proportional to 289,855.13 and 443,400.75

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Solution

The third proportional to 289,855.13 and 443,400.75 is: 678,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,855.13 : 443,400.75 = 443,400.75 : x
  2. Step 2: Convert to fraction form
    289,855.13/443,400.75 = 443,400.75/x
  3. Step 3: Cross multiply
    289,855.13x = 443,400.75 × 443,400.75
  4. Step 4: Simplify right side
    289,855.13x = 196,604,225,100.56
  5. Step 5: Solve for x
    x = 196,604,225,100.56/289,855.13
  6. Step 6: Final answer
    x = 678,284.45

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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.