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Finding the Third Proportional to 678,182.06 and 1,449,637.31

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Solution

The third proportional to 678,182.06 and 1,449,637.31 is: 3,098,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,182.06 : 1,449,637.31 = 1,449,637.31 : x
  2. Step 2: Convert to fraction form
    678,182.06/1,449,637.31 = 1,449,637.31/x
  3. Step 3: Cross multiply
    678,182.06x = 1,449,637.31 × 1,449,637.31
  4. Step 4: Simplify right side
    678,182.06x = 2,101,448,337,792.22
  5. Step 5: Solve for x
    x = 2,101,448,337,792.22/678,182.06
  6. Step 6: Final answer
    x = 3,098,649.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.