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Finding the Third Proportional to 146,378 and 314,948

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Solution

The third proportional to 146,378 and 314,948 is: 677,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,378 : 314,948 = 314,948 : x
  2. Step 2: Convert to fraction form
    146,378/314,948 = 314,948/x
  3. Step 3: Cross multiply
    146,378x = 314,948 × 314,948
  4. Step 4: Simplify right side
    146,378x = 99,192,242,704
  5. Step 5: Solve for x
    x = 99,192,242,704/146,378
  6. Step 6: Final answer
    x = 677,644.47

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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.