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Finding the Third Proportional to 132,684.75 and 280,345.50

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Solution

The third proportional to 132,684.75 and 280,345.50 is: 592,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,684.75 : 280,345.50 = 280,345.50 : x
  2. Step 2: Convert to fraction form
    132,684.75/280,345.50 = 280,345.50/x
  3. Step 3: Cross multiply
    132,684.75x = 280,345.50 × 280,345.50
  4. Step 4: Simplify right side
    132,684.75x = 78,593,599,370.25
  5. Step 5: Solve for x
    x = 78,593,599,370.25/132,684.75
  6. Step 6: Final answer
    x = 592,333.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.