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Finding the Third Proportional to 146,278 and 314,750

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Solution

The third proportional to 146,278 and 314,750 is: 677,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,278 : 314,750 = 314,750 : x
  2. Step 2: Convert to fraction form
    146,278/314,750 = 314,750/x
  3. Step 3: Cross multiply
    146,278x = 314,750 × 314,750
  4. Step 4: Simplify right side
    146,278x = 99,067,562,500
  5. Step 5: Solve for x
    x = 99,067,562,500/146,278
  6. Step 6: Final answer
    x = 677,255.38

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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.