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Finding the Third Proportional to 1,689,293.81 and 3,986,038.69

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Solution

The third proportional to 1,689,293.81 and 3,986,038.69 is: 9,405,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,293.81 : 3,986,038.69 = 3,986,038.69 : x
  2. Step 2: Convert to fraction form
    1,689,293.81/3,986,038.69 = 3,986,038.69/x
  3. Step 3: Cross multiply
    1,689,293.81x = 3,986,038.69 × 3,986,038.69
  4. Step 4: Simplify right side
    1,689,293.81x = 15,888,504,418,246.72
  5. Step 5: Solve for x
    x = 15,888,504,418,246.72/1,689,293.81
  6. Step 6: Final answer
    x = 9,405,412.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.