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Finding the Third Proportional to 1,686,863.81 and 3,643,047.56

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Solution

The third proportional to 1,686,863.81 and 3,643,047.56 is: 7,867,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,863.81 : 3,643,047.56 = 3,643,047.56 : x
  2. Step 2: Convert to fraction form
    1,686,863.81/3,643,047.56 = 3,643,047.56/x
  3. Step 3: Cross multiply
    1,686,863.81x = 3,643,047.56 × 3,643,047.56
  4. Step 4: Simplify right side
    1,686,863.81x = 13,271,795,542,637.19
  5. Step 5: Solve for x
    x = 13,271,795,542,637.19/1,686,863.81
  6. Step 6: Final answer
    x = 7,867,733.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.