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Finding the Third Proportional to 128,910 and 277,567

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Solution

The third proportional to 128,910 and 277,567 is: 597,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,910 : 277,567 = 277,567 : x
  2. Step 2: Convert to fraction form
    128,910/277,567 = 277,567/x
  3. Step 3: Cross multiply
    128,910x = 277,567 × 277,567
  4. Step 4: Simplify right side
    128,910x = 77,043,439,489
  5. Step 5: Solve for x
    x = 77,043,439,489/128,910
  6. Step 6: Final answer
    x = 597,652.93

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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.