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Finding the Third Proportional to 78,053 and 165,829

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Solution

The third proportional to 78,053 and 165,829 is: 352,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053 : 165,829 = 165,829 : x
  2. Step 2: Convert to fraction form
    78,053/165,829 = 165,829/x
  3. Step 3: Cross multiply
    78,053x = 165,829 × 165,829
  4. Step 4: Simplify right side
    78,053x = 27,499,257,241
  5. Step 5: Solve for x
    x = 27,499,257,241/78,053
  6. Step 6: Final answer
    x = 352,315.19

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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.