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Finding the Third Proportional to 138,360 and 269,808

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Solution

The third proportional to 138,360 and 269,808 is: 526,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,360 : 269,808 = 269,808 : x
  2. Step 2: Convert to fraction form
    138,360/269,808 = 269,808/x
  3. Step 3: Cross multiply
    138,360x = 269,808 × 269,808
  4. Step 4: Simplify right side
    138,360x = 72,796,356,864
  5. Step 5: Solve for x
    x = 72,796,356,864/138,360
  6. Step 6: Final answer
    x = 526,137.30

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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.