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Finding the Third Proportional to 74,481 and 159,621

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Solution

The third proportional to 74,481 and 159,621 is: 342,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,481 : 159,621 = 159,621 : x
  2. Step 2: Convert to fraction form
    74,481/159,621 = 159,621/x
  3. Step 3: Cross multiply
    74,481x = 159,621 × 159,621
  4. Step 4: Simplify right side
    74,481x = 25,478,863,641
  5. Step 5: Solve for x
    x = 25,478,863,641/74,481
  6. Step 6: Final answer
    x = 342,085.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.