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Finding the Third Proportional to 287,970.19 and 619,408.69

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Solution

The third proportional to 287,970.19 and 619,408.69 is: 1,332,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,970.19 : 619,408.69 = 619,408.69 : x
  2. Step 2: Convert to fraction form
    287,970.19/619,408.69 = 619,408.69/x
  3. Step 3: Cross multiply
    287,970.19x = 619,408.69 × 619,408.69
  4. Step 4: Simplify right side
    287,970.19x = 383,667,122,150.47
  5. Step 5: Solve for x
    x = 383,667,122,150.47/287,970.19
  6. Step 6: Final answer
    x = 1,332,315.42

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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.