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Finding the Third Proportional to 84,071 and 128,548

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Solution

The third proportional to 84,071 and 128,548 is: 196,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,071 : 128,548 = 128,548 : x
  2. Step 2: Convert to fraction form
    84,071/128,548 = 128,548/x
  3. Step 3: Cross multiply
    84,071x = 128,548 × 128,548
  4. Step 4: Simplify right side
    84,071x = 16,524,588,304
  5. Step 5: Solve for x
    x = 16,524,588,304/84,071
  6. Step 6: Final answer
    x = 196,555.15

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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.