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Finding the Third Proportional to 74,512 and 159,688

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Solution

The third proportional to 74,512 and 159,688 is: 342,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512 : 159,688 = 159,688 : x
  2. Step 2: Convert to fraction form
    74,512/159,688 = 159,688/x
  3. Step 3: Cross multiply
    74,512x = 159,688 × 159,688
  4. Step 4: Simplify right side
    74,512x = 25,500,257,344
  5. Step 5: Solve for x
    x = 25,500,257,344/74,512
  6. Step 6: Final answer
    x = 342,230.21

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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.