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Finding the Third Proportional to 288,636.75 and 619,304.06

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Solution

The third proportional to 288,636.75 and 619,304.06 is: 1,328,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,636.75 : 619,304.06 = 619,304.06 : x
  2. Step 2: Convert to fraction form
    288,636.75/619,304.06 = 619,304.06/x
  3. Step 3: Cross multiply
    288,636.75x = 619,304.06 × 619,304.06
  4. Step 4: Simplify right side
    288,636.75x = 383,537,521,829.00
  5. Step 5: Solve for x
    x = 383,537,521,829.00/288,636.75
  6. Step 6: Final answer
    x = 1,328,789.64

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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.