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Finding the Third Proportional to 640,314 and 1,396,539

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Solution

The third proportional to 640,314 and 1,396,539 is: 3,045,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,314 : 1,396,539 = 1,396,539 : x
  2. Step 2: Convert to fraction form
    640,314/1,396,539 = 1,396,539/x
  3. Step 3: Cross multiply
    640,314x = 1,396,539 × 1,396,539
  4. Step 4: Simplify right side
    640,314x = 1,950,321,178,521
  5. Step 5: Solve for x
    x = 1,950,321,178,521/640,314
  6. Step 6: Final answer
    x = 3,045,882.46

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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.