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Finding the Third Proportional to 138,668 and 304,386

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Solution

The third proportional to 138,668 and 304,386 is: 668,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,668 : 304,386 = 304,386 : x
  2. Step 2: Convert to fraction form
    138,668/304,386 = 304,386/x
  3. Step 3: Cross multiply
    138,668x = 304,386 × 304,386
  4. Step 4: Simplify right side
    138,668x = 92,650,836,996
  5. Step 5: Solve for x
    x = 92,650,836,996/138,668
  6. Step 6: Final answer
    x = 668,148.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.