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Finding the Third Proportional to 74,735 and 161,278

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Solution

The third proportional to 74,735 and 161,278 is: 348,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,735 : 161,278 = 161,278 : x
  2. Step 2: Convert to fraction form
    74,735/161,278 = 161,278/x
  3. Step 3: Cross multiply
    74,735x = 161,278 × 161,278
  4. Step 4: Simplify right side
    74,735x = 26,010,593,284
  5. Step 5: Solve for x
    x = 26,010,593,284/74,735
  6. Step 6: Final answer
    x = 348,037.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.