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Finding the Third Proportional to 161,738 and 347,284

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Solution

The third proportional to 161,738 and 347,284 is: 745,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,738 : 347,284 = 347,284 : x
  2. Step 2: Convert to fraction form
    161,738/347,284 = 347,284/x
  3. Step 3: Cross multiply
    161,738x = 347,284 × 347,284
  4. Step 4: Simplify right side
    161,738x = 120,606,176,656
  5. Step 5: Solve for x
    x = 120,606,176,656/161,738
  6. Step 6: Final answer
    x = 745,688.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.