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Finding the Third Proportional to 289,851.75 and 619,504.88

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Solution

The third proportional to 289,851.75 and 619,504.88 is: 1,324,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,851.75 : 619,504.88 = 619,504.88 : x
  2. Step 2: Convert to fraction form
    289,851.75/619,504.88 = 619,504.88/x
  3. Step 3: Cross multiply
    289,851.75x = 619,504.88 × 619,504.88
  4. Step 4: Simplify right side
    289,851.75x = 383,786,290,148.77
  5. Step 5: Solve for x
    x = 383,786,290,148.77/289,851.75
  6. Step 6: Final answer
    x = 1,324,077.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.