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Finding the Third Proportional to 73,098 and 156,564

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Solution

The third proportional to 73,098 and 156,564 is: 335,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,098 : 156,564 = 156,564 : x
  2. Step 2: Convert to fraction form
    73,098/156,564 = 156,564/x
  3. Step 3: Cross multiply
    73,098x = 156,564 × 156,564
  4. Step 4: Simplify right side
    73,098x = 24,512,286,096
  5. Step 5: Solve for x
    x = 24,512,286,096/73,098
  6. Step 6: Final answer
    x = 335,334.57

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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.