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Finding the Third Proportional to 74,710 and 161,864

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Solution

The third proportional to 74,710 and 161,864 is: 350,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,710 : 161,864 = 161,864 : x
  2. Step 2: Convert to fraction form
    74,710/161,864 = 161,864/x
  3. Step 3: Cross multiply
    74,710x = 161,864 × 161,864
  4. Step 4: Simplify right side
    74,710x = 26,199,954,496
  5. Step 5: Solve for x
    x = 26,199,954,496/74,710
  6. Step 6: Final answer
    x = 350,688.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.