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Finding the Third Proportional to 289,775 and 443,270

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Solution

The third proportional to 289,775 and 443,270 is: 678,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,775 : 443,270 = 443,270 : x
  2. Step 2: Convert to fraction form
    289,775/443,270 = 443,270/x
  3. Step 3: Cross multiply
    289,775x = 443,270 × 443,270
  4. Step 4: Simplify right side
    289,775x = 196,488,292,900
  5. Step 5: Solve for x
    x = 196,488,292,900/289,775
  6. Step 6: Final answer
    x = 678,071.93

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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.