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Finding the Third Proportional to 161,860 and 355,841

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Solution

The third proportional to 161,860 and 355,841 is: 782,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,860 : 355,841 = 355,841 : x
  2. Step 2: Convert to fraction form
    161,860/355,841 = 355,841/x
  3. Step 3: Cross multiply
    161,860x = 355,841 × 355,841
  4. Step 4: Simplify right side
    161,860x = 126,622,817,281
  5. Step 5: Solve for x
    x = 126,622,817,281/161,860
  6. Step 6: Final answer
    x = 782,298.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.