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Finding the Third Proportional to 75,074 and 161,740

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Solution

The third proportional to 75,074 and 161,740 is: 348,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,074 : 161,740 = 161,740 : x
  2. Step 2: Convert to fraction form
    75,074/161,740 = 161,740/x
  3. Step 3: Cross multiply
    75,074x = 161,740 × 161,740
  4. Step 4: Simplify right side
    75,074x = 26,159,827,600
  5. Step 5: Solve for x
    x = 26,159,827,600/75,074
  6. Step 6: Final answer
    x = 348,453.89

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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.