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Finding the Third Proportional to 56,685 and 132,397

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Solution

The third proportional to 56,685 and 132,397 is: 309,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,685 : 132,397 = 132,397 : x
  2. Step 2: Convert to fraction form
    56,685/132,397 = 132,397/x
  3. Step 3: Cross multiply
    56,685x = 132,397 × 132,397
  4. Step 4: Simplify right side
    56,685x = 17,528,965,609
  5. Step 5: Solve for x
    x = 17,528,965,609/56,685
  6. Step 6: Final answer
    x = 309,234.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.