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Finding the Third Proportional to 645,757.31 and 1,344,623.41

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Solution

The third proportional to 645,757.31 and 1,344,623.41 is: 2,799,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,757.31 : 1,344,623.41 = 1,344,623.41 : x
  2. Step 2: Convert to fraction form
    645,757.31/1,344,623.41 = 1,344,623.41/x
  3. Step 3: Cross multiply
    645,757.31x = 1,344,623.41 × 1,344,623.41
  4. Step 4: Simplify right side
    645,757.31x = 1,808,012,125,645.09
  5. Step 5: Solve for x
    x = 1,808,012,125,645.09/645,757.31
  6. Step 6: Final answer
    x = 2,799,832.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.