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Finding the Third Proportional to 764,240 and 1,619,520

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Solution

The third proportional to 764,240 and 1,619,520 is: 3,431,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,240 : 1,619,520 = 1,619,520 : x
  2. Step 2: Convert to fraction form
    764,240/1,619,520 = 1,619,520/x
  3. Step 3: Cross multiply
    764,240x = 1,619,520 × 1,619,520
  4. Step 4: Simplify right side
    764,240x = 2,622,845,030,400
  5. Step 5: Solve for x
    x = 2,622,845,030,400/764,240
  6. Step 6: Final answer
    x = 3,431,965.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.