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Finding the Third Proportional to 186,720 and 280,215.75

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Solution

The third proportional to 186,720 and 280,215.75 is: 420,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,720 : 280,215.75 = 280,215.75 : x
  2. Step 2: Convert to fraction form
    186,720/280,215.75 = 280,215.75/x
  3. Step 3: Cross multiply
    186,720x = 280,215.75 × 280,215.75
  4. Step 4: Simplify right side
    186,720x = 78,520,866,548.06
  5. Step 5: Solve for x
    x = 78,520,866,548.06/186,720
  6. Step 6: Final answer
    x = 420,527.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.