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Finding the Third Proportional to 640,725 and 1,409,349

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Solution

The third proportional to 640,725 and 1,409,349 is: 3,100,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,725 : 1,409,349 = 1,409,349 : x
  2. Step 2: Convert to fraction form
    640,725/1,409,349 = 1,409,349/x
  3. Step 3: Cross multiply
    640,725x = 1,409,349 × 1,409,349
  4. Step 4: Simplify right side
    640,725x = 1,986,264,603,801
  5. Step 5: Solve for x
    x = 1,986,264,603,801/640,725
  6. Step 6: Final answer
    x = 3,100,026.69

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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.