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Finding the Third Proportional to 665,171 and 1,507,921

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Solution

The third proportional to 665,171 and 1,507,921 is: 3,418,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,171 : 1,507,921 = 1,507,921 : x
  2. Step 2: Convert to fraction form
    665,171/1,507,921 = 1,507,921/x
  3. Step 3: Cross multiply
    665,171x = 1,507,921 × 1,507,921
  4. Step 4: Simplify right side
    665,171x = 2,273,825,742,241
  5. Step 5: Solve for x
    x = 2,273,825,742,241/665,171
  6. Step 6: Final answer
    x = 3,418,407.81

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.