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Finding the Third Proportional to 640,729 and 1,409,357

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Solution

The third proportional to 640,729 and 1,409,357 is: 3,100,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,729 : 1,409,357 = 1,409,357 : x
  2. Step 2: Convert to fraction form
    640,729/1,409,357 = 1,409,357/x
  3. Step 3: Cross multiply
    640,729x = 1,409,357 × 1,409,357
  4. Step 4: Simplify right side
    640,729x = 1,986,287,153,449
  5. Step 5: Solve for x
    x = 1,986,287,153,449/640,729
  6. Step 6: Final answer
    x = 3,100,042.54

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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.