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Finding the Third Proportional to 132,685.50 and 280,347

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Solution

The third proportional to 132,685.50 and 280,347 is: 592,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,685.50 : 280,347 = 280,347 : x
  2. Step 2: Convert to fraction form
    132,685.50/280,347 = 280,347/x
  3. Step 3: Cross multiply
    132,685.50x = 280,347 × 280,347
  4. Step 4: Simplify right side
    132,685.50x = 78,594,440,409
  5. Step 5: Solve for x
    x = 78,594,440,409/132,685.50
  6. Step 6: Final answer
    x = 592,336.32

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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.