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Finding the Third Proportional to 71,823 and 157,905

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Solution

The third proportional to 71,823 and 157,905 is: 347,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,823 : 157,905 = 157,905 : x
  2. Step 2: Convert to fraction form
    71,823/157,905 = 157,905/x
  3. Step 3: Cross multiply
    71,823x = 157,905 × 157,905
  4. Step 4: Simplify right side
    71,823x = 24,933,989,025
  5. Step 5: Solve for x
    x = 24,933,989,025/71,823
  6. Step 6: Final answer
    x = 347,158.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.