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Finding the Third Proportional to 74,930 and 161,284

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Solution

The third proportional to 74,930 and 161,284 is: 347,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,930 : 161,284 = 161,284 : x
  2. Step 2: Convert to fraction form
    74,930/161,284 = 161,284/x
  3. Step 3: Cross multiply
    74,930x = 161,284 × 161,284
  4. Step 4: Simplify right side
    74,930x = 26,012,528,656
  5. Step 5: Solve for x
    x = 26,012,528,656/74,930
  6. Step 6: Final answer
    x = 347,157.73

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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.