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Finding the Third Proportional to 165,985 and 355,636

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Solution

The third proportional to 165,985 and 355,636 is: 761,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,985 : 355,636 = 355,636 : x
  2. Step 2: Convert to fraction form
    165,985/355,636 = 355,636/x
  3. Step 3: Cross multiply
    165,985x = 355,636 × 355,636
  4. Step 4: Simplify right side
    165,985x = 126,476,964,496
  5. Step 5: Solve for x
    x = 126,476,964,496/165,985
  6. Step 6: Final answer
    x = 761,978.28

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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.