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Finding the Third Proportional to 127,197 and 277,479

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Solution

The third proportional to 127,197 and 277,479 is: 605,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,197 : 277,479 = 277,479 : x
  2. Step 2: Convert to fraction form
    127,197/277,479 = 277,479/x
  3. Step 3: Cross multiply
    127,197x = 277,479 × 277,479
  4. Step 4: Simplify right side
    127,197x = 76,994,595,441
  5. Step 5: Solve for x
    x = 76,994,595,441/127,197
  6. Step 6: Final answer
    x = 605,317.70

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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.