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Finding the Third Proportional to 132,680 and 280,335

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Solution

The third proportional to 132,680 and 280,335 is: 592,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,680 : 280,335 = 280,335 : x
  2. Step 2: Convert to fraction form
    132,680/280,335 = 280,335/x
  3. Step 3: Cross multiply
    132,680x = 280,335 × 280,335
  4. Step 4: Simplify right side
    132,680x = 78,587,712,225
  5. Step 5: Solve for x
    x = 78,587,712,225/132,680
  6. Step 6: Final answer
    x = 592,310.16

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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.