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Finding the Third Proportional to 78,049 and 165,817

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Solution

The third proportional to 78,049 and 165,817 is: 352,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049 : 165,817 = 165,817 : x
  2. Step 2: Convert to fraction form
    78,049/165,817 = 165,817/x
  3. Step 3: Cross multiply
    78,049x = 165,817 × 165,817
  4. Step 4: Simplify right side
    78,049x = 27,495,277,489
  5. Step 5: Solve for x
    x = 27,495,277,489/78,049
  6. Step 6: Final answer
    x = 352,282.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.