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Finding the Third Proportional to 161,140 and 351,166

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Solution

The third proportional to 161,140 and 351,166 is: 765,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,140 : 351,166 = 351,166 : x
  2. Step 2: Convert to fraction form
    161,140/351,166 = 351,166/x
  3. Step 3: Cross multiply
    161,140x = 351,166 × 351,166
  4. Step 4: Simplify right side
    161,140x = 123,317,559,556
  5. Step 5: Solve for x
    x = 123,317,559,556/161,140
  6. Step 6: Final answer
    x = 765,282.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.