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Finding the Third Proportional to 70,199 and 165,715

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Solution

The third proportional to 70,199 and 165,715 is: 391,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,199 : 165,715 = 165,715 : x
  2. Step 2: Convert to fraction form
    70,199/165,715 = 165,715/x
  3. Step 3: Cross multiply
    70,199x = 165,715 × 165,715
  4. Step 4: Simplify right side
    70,199x = 27,461,461,225
  5. Step 5: Solve for x
    x = 27,461,461,225/70,199
  6. Step 6: Final answer
    x = 391,194.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.