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Finding the Third Proportional to 640,729 and 1,409,359

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Solution

The third proportional to 640,729 and 1,409,359 is: 3,100,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,729 : 1,409,359 = 1,409,359 : x
  2. Step 2: Convert to fraction form
    640,729/1,409,359 = 1,409,359/x
  3. Step 3: Cross multiply
    640,729x = 1,409,359 × 1,409,359
  4. Step 4: Simplify right side
    640,729x = 1,986,292,790,881
  5. Step 5: Solve for x
    x = 1,986,292,790,881/640,729
  6. Step 6: Final answer
    x = 3,100,051.33

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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.