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Finding the Third Proportional to 146,274 and 314,742

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Solution

The third proportional to 146,274 and 314,742 is: 677,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274 : 314,742 = 314,742 : x
  2. Step 2: Convert to fraction form
    146,274/314,742 = 314,742/x
  3. Step 3: Cross multiply
    146,274x = 314,742 × 314,742
  4. Step 4: Simplify right side
    146,274x = 99,062,526,564
  5. Step 5: Solve for x
    x = 99,062,526,564/146,274
  6. Step 6: Final answer
    x = 677,239.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.