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Finding the Third Proportional to 310,493 and 640,807

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Solution

The third proportional to 310,493 and 640,807 is: 1,322,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,493 : 640,807 = 640,807 : x
  2. Step 2: Convert to fraction form
    310,493/640,807 = 640,807/x
  3. Step 3: Cross multiply
    310,493x = 640,807 × 640,807
  4. Step 4: Simplify right side
    310,493x = 410,633,611,249
  5. Step 5: Solve for x
    x = 410,633,611,249/310,493
  6. Step 6: Final answer
    x = 1,322,521.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.