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Finding the Third Proportional to 129,353 and 277,606

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Solution

The third proportional to 129,353 and 277,606 is: 595,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,353 : 277,606 = 277,606 : x
  2. Step 2: Convert to fraction form
    129,353/277,606 = 277,606/x
  3. Step 3: Cross multiply
    129,353x = 277,606 × 277,606
  4. Step 4: Simplify right side
    129,353x = 77,065,091,236
  5. Step 5: Solve for x
    x = 77,065,091,236/129,353
  6. Step 6: Final answer
    x = 595,773.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.