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Finding the Third Proportional to 127,520 and 277,392

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Solution

The third proportional to 127,520 and 277,392 is: 603,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,520 : 277,392 = 277,392 : x
  2. Step 2: Convert to fraction form
    127,520/277,392 = 277,392/x
  3. Step 3: Cross multiply
    127,520x = 277,392 × 277,392
  4. Step 4: Simplify right side
    127,520x = 76,946,321,664
  5. Step 5: Solve for x
    x = 76,946,321,664/127,520
  6. Step 6: Final answer
    x = 603,405.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.