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Finding the Third Proportional to 138,780 and 270,648

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Solution

The third proportional to 138,780 and 270,648 is: 527,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,780 : 270,648 = 270,648 : x
  2. Step 2: Convert to fraction form
    138,780/270,648 = 270,648/x
  3. Step 3: Cross multiply
    138,780x = 270,648 × 270,648
  4. Step 4: Simplify right side
    138,780x = 73,250,339,904
  5. Step 5: Solve for x
    x = 73,250,339,904/138,780
  6. Step 6: Final answer
    x = 527,816.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.