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Finding the Third Proportional to 280,926.56 and 619,116.75

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Solution

The third proportional to 280,926.56 and 619,116.75 is: 1,364,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,926.56 : 619,116.75 = 619,116.75 : x
  2. Step 2: Convert to fraction form
    280,926.56/619,116.75 = 619,116.75/x
  3. Step 3: Cross multiply
    280,926.56x = 619,116.75 × 619,116.75
  4. Step 4: Simplify right side
    280,926.56x = 383,305,550,130.56
  5. Step 5: Solve for x
    x = 383,305,550,130.56/280,926.56
  6. Step 6: Final answer
    x = 1,364,433.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.