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Finding the Third Proportional to 74,713 and 161,870

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Solution

The third proportional to 74,713 and 161,870 is: 350,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,713 : 161,870 = 161,870 : x
  2. Step 2: Convert to fraction form
    74,713/161,870 = 161,870/x
  3. Step 3: Cross multiply
    74,713x = 161,870 × 161,870
  4. Step 4: Simplify right side
    74,713x = 26,201,896,900
  5. Step 5: Solve for x
    x = 26,201,896,900/74,713
  6. Step 6: Final answer
    x = 350,700.64

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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.