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Finding the Third Proportional to 640,716 and 1,409,331

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Solution

The third proportional to 640,716 and 1,409,331 is: 3,099,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,716 : 1,409,331 = 1,409,331 : x
  2. Step 2: Convert to fraction form
    640,716/1,409,331 = 1,409,331/x
  3. Step 3: Cross multiply
    640,716x = 1,409,331 × 1,409,331
  4. Step 4: Simplify right side
    640,716x = 1,986,213,867,561
  5. Step 5: Solve for x
    x = 1,986,213,867,561/640,716
  6. Step 6: Final answer
    x = 3,099,991.05

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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.