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Finding the Third Proportional to 640,449 and 1,393,650

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Solution

The third proportional to 640,449 and 1,393,650 is: 3,032,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,449 : 1,393,650 = 1,393,650 : x
  2. Step 2: Convert to fraction form
    640,449/1,393,650 = 1,393,650/x
  3. Step 3: Cross multiply
    640,449x = 1,393,650 × 1,393,650
  4. Step 4: Simplify right side
    640,449x = 1,942,260,322,500
  5. Step 5: Solve for x
    x = 1,942,260,322,500/640,449
  6. Step 6: Final answer
    x = 3,032,654.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.