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Finding the Third Proportional to 127,836 and 278,742

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Solution

The third proportional to 127,836 and 278,742 is: 607,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,836 : 278,742 = 278,742 : x
  2. Step 2: Convert to fraction form
    127,836/278,742 = 278,742/x
  3. Step 3: Cross multiply
    127,836x = 278,742 × 278,742
  4. Step 4: Simplify right side
    127,836x = 77,697,102,564
  5. Step 5: Solve for x
    x = 77,697,102,564/127,836
  6. Step 6: Final answer
    x = 607,787.34

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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.