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Finding the Third Proportional to 287,952.75 and 619,371

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Solution

The third proportional to 287,952.75 and 619,371 is: 1,332,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,952.75 : 619,371 = 619,371 : x
  2. Step 2: Convert to fraction form
    287,952.75/619,371 = 619,371/x
  3. Step 3: Cross multiply
    287,952.75x = 619,371 × 619,371
  4. Step 4: Simplify right side
    287,952.75x = 383,620,435,641
  5. Step 5: Solve for x
    x = 383,620,435,641/287,952.75
  6. Step 6: Final answer
    x = 1,332,233.97

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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.