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Finding the Third Proportional to 127,784 and 277,288

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Solution

The third proportional to 127,784 and 277,288 is: 601,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,784 : 277,288 = 277,288 : x
  2. Step 2: Convert to fraction form
    127,784/277,288 = 277,288/x
  3. Step 3: Cross multiply
    127,784x = 277,288 × 277,288
  4. Step 4: Simplify right side
    127,784x = 76,888,634,944
  5. Step 5: Solve for x
    x = 76,888,634,944/127,784
  6. Step 6: Final answer
    x = 601,707.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.