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Finding the Third Proportional to 71,971 and 157,043

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Solution

The third proportional to 71,971 and 157,043 is: 342,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,971 : 157,043 = 157,043 : x
  2. Step 2: Convert to fraction form
    71,971/157,043 = 157,043/x
  3. Step 3: Cross multiply
    71,971x = 157,043 × 157,043
  4. Step 4: Simplify right side
    71,971x = 24,662,503,849
  5. Step 5: Solve for x
    x = 24,662,503,849/71,971
  6. Step 6: Final answer
    x = 342,672.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.