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Finding the Third Proportional to 74,797 and 161,486

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Solution

The third proportional to 74,797 and 161,486 is: 348,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,797 : 161,486 = 161,486 : x
  2. Step 2: Convert to fraction form
    74,797/161,486 = 161,486/x
  3. Step 3: Cross multiply
    74,797x = 161,486 × 161,486
  4. Step 4: Simplify right side
    74,797x = 26,077,728,196
  5. Step 5: Solve for x
    x = 26,077,728,196/74,797
  6. Step 6: Final answer
    x = 348,646.71

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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.