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Finding the Third Proportional to 74,701 and 161,287

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Solution

The third proportional to 74,701 and 161,287 is: 348,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,701 : 161,287 = 161,287 : x
  2. Step 2: Convert to fraction form
    74,701/161,287 = 161,287/x
  3. Step 3: Cross multiply
    74,701x = 161,287 × 161,287
  4. Step 4: Simplify right side
    74,701x = 26,013,496,369
  5. Step 5: Solve for x
    x = 26,013,496,369/74,701
  6. Step 6: Final answer
    x = 348,234.91

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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.