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Finding the Third Proportional to 165,815 and 355,270

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Solution

The third proportional to 165,815 and 355,270 is: 761,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,815 : 355,270 = 355,270 : x
  2. Step 2: Convert to fraction form
    165,815/355,270 = 355,270/x
  3. Step 3: Cross multiply
    165,815x = 355,270 × 355,270
  4. Step 4: Simplify right side
    165,815x = 126,216,772,900
  5. Step 5: Solve for x
    x = 126,216,772,900/165,815
  6. Step 6: Final answer
    x = 761,190.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.