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Finding the Third Proportional to 289,342.13 and 443,849.63

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Solution

The third proportional to 289,342.13 and 443,849.63 is: 680,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,342.13 : 443,849.63 = 443,849.63 : x
  2. Step 2: Convert to fraction form
    289,342.13/443,849.63 = 443,849.63/x
  3. Step 3: Cross multiply
    289,342.13x = 443,849.63 × 443,849.63
  4. Step 4: Simplify right side
    289,342.13x = 197,002,489,612.64
  5. Step 5: Solve for x
    x = 197,002,489,612.64/289,342.13
  6. Step 6: Final answer
    x = 680,863.49

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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.