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Finding the Third Proportional to 1,628,296.88 and 3,480,680.81

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Solution

The third proportional to 1,628,296.88 and 3,480,680.81 is: 7,440,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,296.88 : 3,480,680.81 = 3,480,680.81 : x
  2. Step 2: Convert to fraction form
    1,628,296.88/3,480,680.81 = 3,480,680.81/x
  3. Step 3: Cross multiply
    1,628,296.88x = 3,480,680.81 × 3,480,680.81
  4. Step 4: Simplify right side
    1,628,296.88x = 12,115,138,918,505.66
  5. Step 5: Solve for x
    x = 12,115,138,918,505.66/1,628,296.88
  6. Step 6: Final answer
    x = 7,440,374.73

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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.