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Finding the Third Proportional to 84,073 and 128,551

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Solution

The third proportional to 84,073 and 128,551 is: 196,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073 : 128,551 = 128,551 : x
  2. Step 2: Convert to fraction form
    84,073/128,551 = 128,551/x
  3. Step 3: Cross multiply
    84,073x = 128,551 × 128,551
  4. Step 4: Simplify right side
    84,073x = 16,525,359,601
  5. Step 5: Solve for x
    x = 16,525,359,601/84,073
  6. Step 6: Final answer
    x = 196,559.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.