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Finding the Third Proportional to 71,253 and 112,821

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Solution

The third proportional to 71,253 and 112,821 is: 178,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,253 : 112,821 = 112,821 : x
  2. Step 2: Convert to fraction form
    71,253/112,821 = 112,821/x
  3. Step 3: Cross multiply
    71,253x = 112,821 × 112,821
  4. Step 4: Simplify right side
    71,253x = 12,728,578,041
  5. Step 5: Solve for x
    x = 12,728,578,041/71,253
  6. Step 6: Final answer
    x = 178,639.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.