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Finding the Third Proportional to 183,463 and 280,666

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Solution

The third proportional to 183,463 and 280,666 is: 429,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,463 : 280,666 = 280,666 : x
  2. Step 2: Convert to fraction form
    183,463/280,666 = 280,666/x
  3. Step 3: Cross multiply
    183,463x = 280,666 × 280,666
  4. Step 4: Simplify right side
    183,463x = 78,773,403,556
  5. Step 5: Solve for x
    x = 78,773,403,556/183,463
  6. Step 6: Final answer
    x = 429,369.43

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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.