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Finding the Third Proportional to 640,749 and 1,409,397

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Solution

The third proportional to 640,749 and 1,409,397 is: 3,100,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,749 : 1,409,397 = 1,409,397 : x
  2. Step 2: Convert to fraction form
    640,749/1,409,397 = 1,409,397/x
  3. Step 3: Cross multiply
    640,749x = 1,409,397 × 1,409,397
  4. Step 4: Simplify right side
    640,749x = 1,986,399,903,609
  5. Step 5: Solve for x
    x = 1,986,399,903,609/640,749
  6. Step 6: Final answer
    x = 3,100,121.74

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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.