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Finding the Third Proportional to 288,407 and 619,474

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Solution

The third proportional to 288,407 and 619,474 is: 1,330,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,407 : 619,474 = 619,474 : x
  2. Step 2: Convert to fraction form
    288,407/619,474 = 619,474/x
  3. Step 3: Cross multiply
    288,407x = 619,474 × 619,474
  4. Step 4: Simplify right side
    288,407x = 383,748,036,676
  5. Step 5: Solve for x
    x = 383,748,036,676/288,407
  6. Step 6: Final answer
    x = 1,330,578.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.