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Finding the Third Proportional to 288,624.94 and 619,282.13

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Solution

The third proportional to 288,624.94 and 619,282.13 is: 1,328,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,624.94 : 619,282.13 = 619,282.13 : x
  2. Step 2: Convert to fraction form
    288,624.94/619,282.13 = 619,282.13/x
  3. Step 3: Cross multiply
    288,624.94x = 619,282.13 × 619,282.13
  4. Step 4: Simplify right side
    288,624.94x = 383,510,350,344.52
  5. Step 5: Solve for x
    x = 383,510,350,344.52/288,624.94
  6. Step 6: Final answer
    x = 1,328,749.88

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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.