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Finding the Third Proportional to 71,685 and 113,863

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Solution

The third proportional to 71,685 and 113,863 is: 180,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,685 : 113,863 = 113,863 : x
  2. Step 2: Convert to fraction form
    71,685/113,863 = 113,863/x
  3. Step 3: Cross multiply
    71,685x = 113,863 × 113,863
  4. Step 4: Simplify right side
    71,685x = 12,964,782,769
  5. Step 5: Solve for x
    x = 12,964,782,769/71,685
  6. Step 6: Final answer
    x = 180,857.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.